https://de.wikipedia.org/w/api.php?action=feedcontributions&feedformat=atom&user=Repku Wikipedia - Benutzerbeiträge [de] 2025-06-28T16:31:36Z Benutzerbeiträge MediaWiki 1.45.0-wmf.7 https://de.wikipedia.org/w/index.php?title=UFO-H%C3%A4user_von_Sanzhi&diff=162047736 UFO-Häuser von Sanzhi 2011-11-08T01:28:27Z <p>Repku: Oh wait...</p> <hr /> <div>[[File:Sanzhi Ufo Houses.jpg|thumb|right|210px|Photograph showing two of the colorful pod-style buildings.]]<br /> <br /> The '''Sanzhi UFO houses''' (三芝飛碟屋), also known as the '''Sanzhi pod houses''' or '''Sanzhi Pod City''', were a set of abandoned pod-shaped buildings in [[Sanzhi District]], [[New Taipei City]], [[Taiwan]]. The buildings resembled [[Futuro house]]s, some examples of which can be found elsewhere in Taiwan.&lt;ref&gt;{{citation |url=http://deu.archinform.net/projekte/13944.htm |title=archINForm Archive: Futuro House |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://fiveprime.org/hivemind/User/Peggie%20Scott |title=Hive mind search for 'Peggie Scott' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/21489342@N05/sets/72157623271156963/ |title=Photos by flickr user 'city tales' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/peggie/archives/date-posted/2008/12/17/ |title=Photo Archive 2008-12-17 for flickr user Peggie Scott |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/search/?q=taiwan+ufo+house&amp;s=int&amp;page=3 |title=flickr search for keywords 'taiwan ufo house' |accessdate=2011-06-13}}&lt;/ref&gt; The site where the buildings were located was owned by [[Hung Kuo Group]].&lt;ref name=&quot;Chuang&quot;&gt;{{citation |last=Chuang|first=Jimmy|url=http://www.taipeitimes.com/News/taiwan/archives/2009/01/29/2003434810 |title=FEATURE: Taipei County looks to rebuild site of weird UFO houses |periodical=The Taipei Times|date=2009-01-29 |accessdate=2010-01-02}}&lt;/ref&gt;<br /> <br /> ==Construction and abandonment==<br /> The UFO houses were constructed beginning in 1978.&lt;ref name=&quot;Chuang&quot;/&gt; They were intended as a vacation [[resort]] in a part of the northern coast adjacent to [[Tamsui District|Tamsui]], and were marketed towards [[U.S. military]] officers coming from their East Asian postings.&lt;ref name=lib&gt;{{citation |last=黃 |first=其豪|url=http://www.libertytimes.com.tw/2008/new/jan/21/today-so1-5.htm |title=網友以訛傳訛 三芝飛碟屋變鬼屋 |periodical=Liberty Times |date=2008-01-21 |accessdate=2009-11-28 |language=Chinese}}&lt;/ref&gt; However, the project was abandoned in 1980 due to investment losses and several car accident deaths during construction, which is said to have been caused by the unfortuitous act of bisecting the [[Chinese dragon]] sculpture located near the resort gates for widening the road to the buildings.&lt;ref name=&quot;Chuang&quot;/&gt;&lt;ref name=lib/&gt; Other stories indicated that the site was the former burial ground for [[Netherlands|Dutch]] soldiers.&lt;ref&gt;{{citation|first=Leo |last=Chang |title=Taiwan’s deserted &quot;UFO houses&quot;|date=2008-09-22|periodical=The Observers|publisher=France 24|url=http://observers.france24.com/en/content/20080922-taiwan-deserted-ufo-houses-architecture}}&lt;/ref&gt;<br /> <br /> The pod-like buildings became a minor [[tourist attraction]] due in part to their unusual architecture.&lt;ref name=lib/&gt; The structures have since been subject of a film, {{which|date=November 2011}} used as a location by [[MTV]] for cinematography, photographed by people, and become a subject in online discussions, described as a [[ghost town]] or &quot;[[ruins]] of the future&quot;.&lt;ref&gt;{{citation |last=黃|first=福其|url=http://udn.com/NEWS/DOMESTIC/DOM2/4658606.shtml |title=三芝飛碟屋 下周一開拆 |periodical=聯合報 udn.com|date=2008-12-25 |accessdate=2009-11-29 |language=Chinese}}&lt;/ref&gt;<br /> <br /> ==Demolition==<br /> The buildings were scheduled to be torn down in late 2008, despite an online petition to retain one of the structures as a museum.&lt;ref&gt;{{citation |last=洪|first=哲政|title=三芝飛碟屋明天拆 網友求情「留1棟 |periodical=Apple Daily |url=http://tw.nextmedia.com/applenews/article/art_id/31268027/IssueID/20081228 |accessdate=2009-11-28 |date=2008-12-28 |language=Chinese}}&lt;/ref&gt; Demolition work on the site began on 29 December 2008, with plans to redevelop the site into a tourist attraction with hotels and beach facilities.&lt;ref name=&quot;Chuang&quot;/&gt;<br /> <br /> As of 2010, all UFO houses have been demolished and the site is in the process of being converted to a commercial seaside resort and water-park.&lt;ref&gt;{{citation|title=飛碟屋剷平 三芝闢水上樂園 |year=2010 |date=2010-03-14 |last=洪 |first=哲政 |journal=解蘋果日報 (Apple Daily)|language=Chinese|url=http://tw.nextmedia.com/applenews/article/art_id/32360104/IssueID/20100314}}&lt;/ref&gt;<br /> <br /> ==See also==<br /> *[[Urban decay]]<br /> <br /> ==References==<br /> {{Reflist}}<br /> <br /> ==External links==<br /> *[http://www.flickr.com/photos/yusheng/sets/72157594518737058/ Photo set] on [[Flickr]]<br /> *[http://www.flickr.com/photos/cypherone/sets/72157600694356865/ Another photo set] on Flickr<br /> *[http://dreintaiwan.blogspot.com/2009/01/ufo-pod-village-in-sanzhi.html Videos of the pod houses]<br /> *[http://www.filemagazine.com/galleries/archives/2008/03/sanzhr_pod_vill.html Photo gallery] at File Magazine<br /> *[http://www.urbanghostsmedia.com/2010/03/ufo-houses-the-ruins-of-the-future/ UFO Houses: The &quot;Ruins of the Future&quot;]<br /> {{Coord|25.2609591|121.4776754|region:TW_type:landmark|display=title}}<br /> <br /> {{Use dmy dates|date=September 2010}}<br /> <br /> {{DEFAULTSORT:Sanzhi Ufo Houses}}<br /> [[Category:Buildings and structures in New Taipei]]<br /> [[Category:Destroyed landmarks]]<br /> [[Category:Ghost towns]]<br /> [[Category:Reportedly haunted locations]]<br /> [[es:Casas OVNI de Sanzhi]]<br /> [[zh:三芝飛碟屋]]</div> Repku https://de.wikipedia.org/w/index.php?title=UFO-H%C3%A4user_von_Sanzhi&diff=162047734 UFO-Häuser von Sanzhi 2011-11-08T01:02:51Z <p>Repku: Blank edit: WERE not located in Taiwan, I mean.</p> <hr /> <div>[[File:Sanzhi Ufo Houses.jpg|thumb|right|210px|Photograph showing two of the colorful pod-style buildings.]]<br /> <br /> The '''Sanzhi UFO houses''' (三芝飛碟屋), also known as the '''Sanzhi pod houses''' or '''Sanzhi Pod City''', were a set of abandoned pod-shaped buildings in [[Sanzhi District]], [[New Taipei City]], [[Taiwan]]. The buildings resembled [[Futuro house]]s, some examples of which can still be found elsewhere in Taiwan.&lt;ref&gt;{{citation |url=http://deu.archinform.net/projekte/13944.htm |title=archINForm Archive: Futuro House |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://fiveprime.org/hivemind/User/Peggie%20Scott |title=Hive mind search for 'Peggie Scott' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/21489342@N05/sets/72157623271156963/ |title=Photos by flickr user 'city tales' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/peggie/archives/date-posted/2008/12/17/ |title=Photo Archive 2008-12-17 for flickr user Peggie Scott |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/search/?q=taiwan+ufo+house&amp;s=int&amp;page=3 |title=flickr search for keywords 'taiwan ufo house' |accessdate=2011-06-13}}&lt;/ref&gt; The site where the buildings were located was owned by [[Hung Kuo Group]].&lt;ref name=&quot;Chuang&quot;&gt;{{citation |last=Chuang|first=Jimmy|url=http://www.taipeitimes.com/News/taiwan/archives/2009/01/29/2003434810 |title=FEATURE: Taipei County looks to rebuild site of weird UFO houses |periodical=The Taipei Times|date=2009-01-29 |accessdate=2010-01-02}}&lt;/ref&gt;<br /> <br /> ==Construction and abandonment==<br /> The UFO houses were constructed beginning in 1978.&lt;ref name=&quot;Chuang&quot;/&gt; They were intended as a vacation [[resort]] in a part of the northern coast adjacent to [[Tamsui District|Tamsui]], and were marketed towards [[U.S. military]] officers coming from their East Asian postings.&lt;ref name=lib&gt;{{citation |last=黃 |first=其豪|url=http://www.libertytimes.com.tw/2008/new/jan/21/today-so1-5.htm |title=網友以訛傳訛 三芝飛碟屋變鬼屋 |periodical=Liberty Times |date=2008-01-21 |accessdate=2009-11-28 |language=Chinese}}&lt;/ref&gt; However, the project was abandoned in 1980 due to investment losses and several car accident deaths during construction, which is said to have been caused by the unfortuitous act of bisecting the [[Chinese dragon]] sculpture located near the resort gates for widening the road to the buildings.&lt;ref name=&quot;Chuang&quot;/&gt;&lt;ref name=lib/&gt; Other stories indicated that the site was the former burial ground for [[Netherlands|Dutch]] soldiers.&lt;ref&gt;{{citation|first=Leo |last=Chang |title=Taiwan’s deserted &quot;UFO houses&quot;|date=2008-09-22|periodical=The Observers|publisher=France 24|url=http://observers.france24.com/en/content/20080922-taiwan-deserted-ufo-houses-architecture}}&lt;/ref&gt;<br /> <br /> The pod-like buildings became a minor [[tourist attraction]] due in part to their unusual architecture.&lt;ref name=lib/&gt; The structures have since been subject of a film, {{which}} used as a location by [[MTV]] for cinematography, photographed by people, and become a subject in online discussions, described as a [[ghost town]] or &quot;[[ruins]] of the future&quot;.&lt;ref&gt;{{citation |last=黃|first=福其|url=http://udn.com/NEWS/DOMESTIC/DOM2/4658606.shtml |title=三芝飛碟屋 下周一開拆 |periodical=聯合報 udn.com|date=2008-12-25 |accessdate=2009-11-29 |language=Chinese}}&lt;/ref&gt;<br /> <br /> ==Demolition==<br /> The buildings were scheduled to be torn down in late 2008, despite an online petition to retain one of the structures as a museum.&lt;ref&gt;{{citation |last=洪|first=哲政|title=三芝飛碟屋明天拆 網友求情「留1棟 |periodical=Apple Daily |url=http://tw.nextmedia.com/applenews/article/art_id/31268027/IssueID/20081228 |accessdate=2009-11-28 |date=2008-12-28 |language=Chinese}}&lt;/ref&gt; Demolition work on the site began on 29 December 2008, with plans to redevelop the site into a tourist attraction with hotels and beach facilities.&lt;ref name=&quot;Chuang&quot;/&gt;<br /> <br /> As of 2010, all UFO houses have been demolished and the site is in the process of being converted to a commercial seaside resort and water-park.&lt;ref&gt;{{citation|title=飛碟屋剷平 三芝闢水上樂園 |year=2010 |date=2010-03-14 |last=洪 |first=哲政 |journal=解蘋果日報 (Apple Daily)|language=Chinese|url=http://tw.nextmedia.com/applenews/article/art_id/32360104/IssueID/20100314}}&lt;/ref&gt;<br /> <br /> ==See also==<br /> *[[Urban decay]]<br /> <br /> ==References==<br /> {{Reflist}}<br /> <br /> ==External links==<br /> *[http://www.flickr.com/photos/yusheng/sets/72157594518737058/ Photo set] on [[Flickr]]<br /> *[http://www.flickr.com/photos/cypherone/sets/72157600694356865/ Another photo set] on Flickr<br /> *[http://dreintaiwan.blogspot.com/2009/01/ufo-pod-village-in-sanzhi.html Videos of the pod houses]<br /> *[http://www.filemagazine.com/galleries/archives/2008/03/sanzhr_pod_vill.html Photo gallery] at File Magazine<br /> *[http://www.urbanghostsmedia.com/2010/03/ufo-houses-the-ruins-of-the-future/ UFO Houses: The &quot;Ruins of the Future&quot;]<br /> {{Coord|25.2609591|121.4776754|region:TW_type:landmark|display=title}}<br /> <br /> {{Use dmy dates|date=September 2010}}<br /> <br /> {{DEFAULTSORT:Sanzhi Ufo Houses}}<br /> [[Category:Buildings and structures in New Taipei]]<br /> [[Category:Destroyed landmarks]]<br /> [[Category:Ghost towns]]<br /> [[Category:Reportedly haunted locations]]<br /> [[es:Casas OVNI de Sanzhi]]<br /> [[zh:三芝飛碟屋]]</div> Repku https://de.wikipedia.org/w/index.php?title=UFO-H%C3%A4user_von_Sanzhi&diff=162047733 UFO-Häuser von Sanzhi 2011-11-08T01:00:59Z <p>Repku: The way it was written before this could create mild confusion, as it appears to imply that the Sanzhi UFO Houses are not located in Taiwan.</p> <hr /> <div>[[File:Sanzhi Ufo Houses.jpg|thumb|right|210px|Photograph showing two of the colorful pod-style buildings.]]<br /> The '''Sanzhi UFO houses''' (三芝飛碟屋), also known as the '''Sanzhi pod houses''' or '''Sanzhi Pod City''', were a set of abandoned pod-shaped buildings in [[Sanzhi District]], [[New Taipei City]], [[Taiwan]]. The buildings resembled [[Futuro house]]s, some examples of which can still be found elsewhere in Taiwan.&lt;ref&gt;{{citation |url=http://deu.archinform.net/projekte/13944.htm |title=archINForm Archive: Futuro House |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://fiveprime.org/hivemind/User/Peggie%20Scott |title=Hive mind search for 'Peggie Scott' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/21489342@N05/sets/72157623271156963/ |title=Photos by flickr user 'city tales' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/peggie/archives/date-posted/2008/12/17/ |title=Photo Archive 2008-12-17 for flickr user Peggie Scott |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/search/?q=taiwan+ufo+house&amp;s=int&amp;page=3 |title=flickr search for keywords 'taiwan ufo house' |accessdate=2011-06-13}}&lt;/ref&gt; The site where the buildings were located was owned by [[Hung Kuo Group]].&lt;ref name=&quot;Chuang&quot;&gt;{{citation |last=Chuang|first=Jimmy|url=http://www.taipeitimes.com/News/taiwan/archives/2009/01/29/2003434810 |title=FEATURE: Taipei County looks to rebuild site of weird UFO houses |periodical=The Taipei Times|date=2009-01-29 |accessdate=2010-01-02}}&lt;/ref&gt;<br /> <br /> ==Construction and abandonment==<br /> The UFO houses were constructed beginning in 1978.&lt;ref name=&quot;Chuang&quot;/&gt; They were intended as a vacation [[resort]] in a part of the northern coast adjacent to [[Tamsui District|Tamsui]], and were marketed towards [[U.S. military]] officers coming from their East Asian postings.&lt;ref name=lib&gt;{{citation |last=黃 |first=其豪|url=http://www.libertytimes.com.tw/2008/new/jan/21/today-so1-5.htm |title=網友以訛傳訛 三芝飛碟屋變鬼屋 |periodical=Liberty Times |date=2008-01-21 |accessdate=2009-11-28 |language=Chinese}}&lt;/ref&gt; However, the project was abandoned in 1980 due to investment losses and several car accident deaths during construction, which is said to have been caused by the unfortuitous act of bisecting the [[Chinese dragon]] sculpture located near the resort gates for widening the road to the buildings.&lt;ref name=&quot;Chuang&quot;/&gt;&lt;ref name=lib/&gt; Other stories indicated that the site was the former burial ground for [[Netherlands|Dutch]] soldiers.&lt;ref&gt;{{citation|first=Leo |last=Chang |title=Taiwan’s deserted &quot;UFO houses&quot;|date=2008-09-22|periodical=The Observers|publisher=France 24|url=http://observers.france24.com/en/content/20080922-taiwan-deserted-ufo-houses-architecture}}&lt;/ref&gt;<br /> <br /> The pod-like buildings became a minor [[tourist attraction]] due in part to their unusual architecture.&lt;ref name=lib/&gt; The structures have since been subject of a film, {{which}} used as a location by [[MTV]] for cinematography, photographed by people, and become a subject in online discussions, described as a [[ghost town]] or &quot;[[ruins]] of the future&quot;.&lt;ref&gt;{{citation |last=黃|first=福其|url=http://udn.com/NEWS/DOMESTIC/DOM2/4658606.shtml |title=三芝飛碟屋 下周一開拆 |periodical=聯合報 udn.com|date=2008-12-25 |accessdate=2009-11-29 |language=Chinese}}&lt;/ref&gt;<br /> <br /> ==Demolition==<br /> The buildings were scheduled to be torn down in late 2008, despite an online petition to retain one of the structures as a museum.&lt;ref&gt;{{citation |last=洪|first=哲政|title=三芝飛碟屋明天拆 網友求情「留1棟 |periodical=Apple Daily |url=http://tw.nextmedia.com/applenews/article/art_id/31268027/IssueID/20081228 |accessdate=2009-11-28 |date=2008-12-28 |language=Chinese}}&lt;/ref&gt; Demolition work on the site began on 29 December 2008, with plans to redevelop the site into a tourist attraction with hotels and beach facilities.&lt;ref name=&quot;Chuang&quot;/&gt;<br /> <br /> As of 2010, all UFO houses have been demolished and the site is in the process of being converted to a commercial seaside resort and water-park.&lt;ref&gt;{{citation|title=飛碟屋剷平 三芝闢水上樂園 |year=2010 |date=2010-03-14 |last=洪 |first=哲政 |journal=解蘋果日報 (Apple Daily)|language=Chinese|url=http://tw.nextmedia.com/applenews/article/art_id/32360104/IssueID/20100314}}&lt;/ref&gt;<br /> <br /> ==See also==<br /> *[[Urban decay]]<br /> <br /> ==References==<br /> {{Reflist}}<br /> <br /> ==External links==<br /> *[http://www.flickr.com/photos/yusheng/sets/72157594518737058/ Photo set] on [[Flickr]]<br /> *[http://www.flickr.com/photos/cypherone/sets/72157600694356865/ Another photo set] on Flickr<br /> *[http://dreintaiwan.blogspot.com/2009/01/ufo-pod-village-in-sanzhi.html Videos of the pod houses]<br /> *[http://www.filemagazine.com/galleries/archives/2008/03/sanzhr_pod_vill.html Photo gallery] at File Magazine<br /> *[http://www.urbanghostsmedia.com/2010/03/ufo-houses-the-ruins-of-the-future/ UFO Houses: The &quot;Ruins of the Future&quot;]<br /> {{Coord|25.2609591|121.4776754|region:TW_type:landmark|display=title}}<br /> <br /> {{Use dmy dates|date=September 2010}}<br /> <br /> {{DEFAULTSORT:Sanzhi Ufo Houses}}<br /> [[Category:Buildings and structures in New Taipei]]<br /> [[Category:Destroyed landmarks]]<br /> [[Category:Ghost towns]]<br /> [[Category:Reportedly haunted locations]]<br /> [[es:Casas OVNI de Sanzhi]]<br /> [[zh:三芝飛碟屋]]</div> Repku https://de.wikipedia.org/w/index.php?title=UFO-H%C3%A4user_von_Sanzhi&diff=162047732 UFO-Häuser von Sanzhi 2011-11-08T00:52:35Z <p>Repku: /* Construction and abandonment */</p> <hr /> <div>[[File:Sanzhi Ufo Houses.jpg|thumb|right|210px|Photograph showing two of the colorful pod-style buildings.]]<br /> The '''Sanzhi UFO houses''' (三芝飛碟屋), also known as the '''Sanzhi pod houses''' or '''Sanzhi Pod City''', were a set of abandoned pod-shaped buildings in [[Sanzhi District]], [[New Taipei City]], [[Taiwan]]. The buildings resembled [[Futuro house]]s, of which some examples also can be found in Taiwan.&lt;ref&gt;{{citation |url=http://deu.archinform.net/projekte/13944.htm |title=archINForm Archive: Futuro House |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://fiveprime.org/hivemind/User/Peggie%20Scott |title=Hive mind search for 'Peggie Scott' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/21489342@N05/sets/72157623271156963/ |title=Photos by flickr user 'city tales' |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/photos/peggie/archives/date-posted/2008/12/17/ |title=Photo Archive 2008-12-17 for flickr user Peggie Scott |accessdate=2011-06-13}}&lt;/ref&gt;&lt;ref&gt;{{citation |url=http://www.flickr.com/search/?q=taiwan+ufo+house&amp;s=int&amp;page=3 |title=flickr search for keywords 'taiwan ufo house' |accessdate=2011-06-13}}&lt;/ref&gt; The site where the buildings were located was owned by [[Hung Kuo Group]].&lt;ref name=&quot;Chuang&quot;&gt;{{citation |last=Chuang|first=Jimmy|url=http://www.taipeitimes.com/News/taiwan/archives/2009/01/29/2003434810 |title=FEATURE: Taipei County looks to rebuild site of weird UFO houses |periodical=The Taipei Times|date=2009-01-29 |accessdate=2010-01-02}}&lt;/ref&gt;<br /> <br /> ==Construction and abandonment==<br /> The UFO houses were constructed beginning in 1978.&lt;ref name=&quot;Chuang&quot;/&gt; They were intended as a vacation [[resort]] in a part of the northern coast adjacent to [[Tamsui District|Tamsui]], and were marketed towards [[U.S. military]] officers coming from their East Asian postings.&lt;ref name=lib&gt;{{citation |last=黃 |first=其豪|url=http://www.libertytimes.com.tw/2008/new/jan/21/today-so1-5.htm |title=網友以訛傳訛 三芝飛碟屋變鬼屋 |periodical=Liberty Times |date=2008-01-21 |accessdate=2009-11-28 |language=Chinese}}&lt;/ref&gt; However, the project was abandoned in 1980 due to investment losses and several car accident deaths during construction, which is said to have been caused by the unfortuitous act of bisecting the [[Chinese dragon]] sculpture located near the resort gates for widening the road to the buildings.&lt;ref name=&quot;Chuang&quot;/&gt;&lt;ref name=lib/&gt; Other stories indicated that the site was the former burial ground for [[Netherlands|Dutch]] soldiers.&lt;ref&gt;{{citation|first=Leo |last=Chang |title=Taiwan’s deserted &quot;UFO houses&quot;|date=2008-09-22|periodical=The Observers|publisher=France 24|url=http://observers.france24.com/en/content/20080922-taiwan-deserted-ufo-houses-architecture}}&lt;/ref&gt;<br /> <br /> The pod-like buildings became a minor [[tourist attraction]] due in part to their unusual architecture.&lt;ref name=lib/&gt; The structures have since been subject of a film, {{which}} used as a location by [[MTV]] for cinematography, photographed by people, and become a subject in online discussions, described as a [[ghost town]] or &quot;[[ruins]] of the future&quot;.&lt;ref&gt;{{citation |last=黃|first=福其|url=http://udn.com/NEWS/DOMESTIC/DOM2/4658606.shtml |title=三芝飛碟屋 下周一開拆 |periodical=聯合報 udn.com|date=2008-12-25 |accessdate=2009-11-29 |language=Chinese}}&lt;/ref&gt;<br /> <br /> ==Demolition==<br /> The buildings were scheduled to be torn down in late 2008, despite an online petition to retain one of the structures as a museum.&lt;ref&gt;{{citation |last=洪|first=哲政|title=三芝飛碟屋明天拆 網友求情「留1棟 |periodical=Apple Daily |url=http://tw.nextmedia.com/applenews/article/art_id/31268027/IssueID/20081228 |accessdate=2009-11-28 |date=2008-12-28 |language=Chinese}}&lt;/ref&gt; Demolition work on the site began on 29 December 2008, with plans to redevelop the site into a tourist attraction with hotels and beach facilities.&lt;ref name=&quot;Chuang&quot;/&gt;<br /> <br /> As of 2010, all UFO houses have been demolished and the site is in the process of being converted to a commercial seaside resort and water-park.&lt;ref&gt;{{citation|title=飛碟屋剷平 三芝闢水上樂園 |year=2010 |date=2010-03-14 |last=洪 |first=哲政 |journal=解蘋果日報 (Apple Daily)|language=Chinese|url=http://tw.nextmedia.com/applenews/article/art_id/32360104/IssueID/20100314}}&lt;/ref&gt;<br /> <br /> ==See also==<br /> *[[Urban decay]]<br /> <br /> ==References==<br /> {{Reflist}}<br /> <br /> ==External links==<br /> *[http://www.flickr.com/photos/yusheng/sets/72157594518737058/ Photo set] on [[Flickr]]<br /> *[http://www.flickr.com/photos/cypherone/sets/72157600694356865/ Another photo set] on Flickr<br /> *[http://dreintaiwan.blogspot.com/2009/01/ufo-pod-village-in-sanzhi.html Videos of the pod houses]<br /> *[http://www.filemagazine.com/galleries/archives/2008/03/sanzhr_pod_vill.html Photo gallery] at File Magazine<br /> *[http://www.urbanghostsmedia.com/2010/03/ufo-houses-the-ruins-of-the-future/ UFO Houses: The &quot;Ruins of the Future&quot;]<br /> {{Coord|25.2609591|121.4776754|region:TW_type:landmark|display=title}}<br /> <br /> {{Use dmy dates|date=September 2010}}<br /> <br /> {{DEFAULTSORT:Sanzhi Ufo Houses}}<br /> [[Category:Buildings and structures in New Taipei]]<br /> [[Category:Destroyed landmarks]]<br /> [[Category:Ghost towns]]<br /> [[Category:Reportedly haunted locations]]<br /> [[es:Casas OVNI de Sanzhi]]<br /> [[zh:三芝飛碟屋]]</div> Repku https://de.wikipedia.org/w/index.php?title=B%C3%B6ser_Clown&diff=158997075 Böser Clown 2009-08-24T00:56:59Z <p>Repku: </p> <hr /> <div>{{mergeto|Coulrophobia|date=November 2008}}<br /> {{original research}}<br /> [[File:Scary clown.jpg|thumb|250px|&lt;center&gt;Scary clown]]<br /> The image of the '''evil clown''' is a development in [[United States|American]] [[popular culture]], {{or}} in which the playful [[trope (literature)|trope]] of the [[clown]] is rendered as disturbing through the use of [[Horror and terror|horror]] elements and [[dark humor]]. {{fact}}<br /> <br /> ==Background==<br /> The concept of the evil clown is related to the irrational fear of clowns, known as [[coulrophobia]].<br /> <br /> The cultural critic [[Mark Dery]] has theorized the postmodern archetype of the Evil Clown in &quot;Cotton Candy Autopsy: Deconstructing Psycho-Killer Clowns&quot; (a chapter in his cultural critique ''The Pyrotechnic Insanitarium: American Culture on the Brink''). Tracking the image of the demented or deviant clown across popular culture, Dery analyzes the &quot;Pogo the Clown&quot; persona of the serial killer [[John Wayne Gacy]]; the obscene clowns of the neo-Situationist Cacophony Society; [[The Joker]] (of &quot;[[Batman]]&quot; Fame); the grotesque art of [[R.K. Sloane]]; the sick-funny [[Bobcat Goldthwaite]] comedy &quot;Shakes the Clown&quot;; [[Stephen King]]'s ''[[It (novel)|It]]'', and the graphic novel ''[[Arkham Asylum]]''. Using [[Mikhail Bakhtin]]'s theory of the carnivalesque, Jungian and historical writings on the images of the fool in myth and history, and ruminations on the mingling of ecstasy and dread in the Information Age, Dery asserts the Evil Clown is an icon for our times.<br /> <br /> ==Evil clown in popular culture==<br /> *In real life, the infamous [[John Wayne Gacy]] was nicknamed 'Killer Clown', though this was simply the media using the fact that he dressed as a clown at times, he never killed looking like one.<br /> <br /> Major examples of &quot;evil clown&quot; imagery are:<br /> * [[Joker (comics)|The Joker]], who is the [[archenemy]] of [[Batman]], is a murderously insane evil [[super villain]] with a disturbing clown-like appearance. The character first appeared in ''Batman #1'' (1940). However, his facial appearance was inspired by the character of Gwynplaine from the movie [[The Man Who Laughs]], which starred [[Conrad Veidt]] as that character. Gwynplaine had been a victim of gypses who had cut off his lips so it appeared as if he were always smiling.<br /> * In the Batman related cartoon series [[Batman Beyond]], a group of antagonists who take after the deceased [[Joker (comics)|Joker]] dress in clown outfits similar to the original villain and call themselves The Jokerz.<br /> * The [[Stephen King]] novel ''[[It (novel)|It]]'', as well as the TV [[It (1990 film)|movie]] featuring [[Tim Curry]], revolves around seven children who are haunted by an evil shape-shifting creature that often takes the form of an evil clown named [[It (novel)#It|Pennywise]].<br /> * [[Tripping the Rift]] has the Dark Clown Empire, led by Darph Bobo.<br /> * The Clown, the archenemy of the golden age heroes [[Magno the Magnetic Man]] and Davey in comics published by [[Ace Comics (publishers)|Ace Comics]].<br /> * Konrad Beezo and his son Punchinello are the antagonists in the novel ''[[Life Expectancy (novel)|Life Expectancy]]'', by [[Dean Koontz]]. Also, there are two minor villains, Honker and Crinkles, who are arguably also &quot;evil&quot; clowns.<br /> * Musical groups such as the [[Insane Clown Posse]], [[Twiztid]], [[Blaze Ya Dead Homie]], [[Boondox]], [[Anybody Killa]] [[Dangerous Toys]], [[Mr. Bungle]], [[Shawn &quot;Clown&quot; Crahan]] of [[Slipknot (band)|Slipknot]], and [[Tech N9ne]] aka &quot;killa klown&quot;, impersonate clowns in a &quot;creepy&quot; manner.<br /> * The [[Evil Clown of Middletown]], a [[New Jersey]] roadside advertisement, appears in the first few minutes of [[Kevin Smith (film maker)|Kevin Smith]]'s film ''[[Clerks II]]'' (2006).<br /> * In the early 1990s an evil clown character was featured in the [[World Wrestling Entertainment|World Wrestling Federation]] (WWF). [[Doink the Clown]] was portrayed as a villain early on in his career. He would do cruel things such as pop children's balloons with a cigar, splash water on the audience, and use a fake prosthetic arm to attack opponents. Once he even attacked an opponent with a car battery. His entrance theme music was a typical happy circus tune (&quot;[[Entrance of the Gladiators]]&quot;) which would quickly segue into dark and menacing music, complete with evil cackling sound effects.<br /> * An evil clown named [[Buggy the Clown]] is a villain in the anime series ''[[One Piece]]''.<br /> * The [[science fiction film|sci fi]] movie ''[[Killer Klowns from Outer Space]]'' (1988) features human-eating aliens who resemble evil clowns.<br /> * In an episode of [[Mona the Vampire]], the kids come face-to-face with a clown/[[werewolf]] hybrid known as a Were-clown.<br /> * [[Universal Studios]] [[Halloween Horror Nights (Orlando)|Halloween Horror Nights]] has used a sadistic character named [[Halloween Horror Nights (Orlando)#Event Icons|Jack the Clown]] as an event icon for several years.<br /> * ''A Dark Place'' by Steven Shiverdecker is a book published by Infinity Publishing about a grotesque, murderous clown.<br /> * [[Sweet Tooth (Twisted Metal)|Sweet Tooth]], a character from the ''[[Twisted Metal]]'' video game series, is an evil clown. Though the level of his evil deeds varies from game to game. His wishes are usually destructive, murderous, or sometimes just silly.<br /> *In the Anime [[Hunter X Hunter]], one of the main character is [[Hisoka]]. He is sadistic, and notorious for killing strong opponents. He joins [[Phantom Troupe|Phantom troupe]] one of the strongest gang on the anime, joins for the sole purpose of killing the gangs leader [[Kuroro Lucifer]]<br /> * In the series ''[[Digimon]]'', the most powerful and evil Dark Master, [[wikia:digimon:List of Mega Digimon (Part 4)#Piedmon|Piedmon]], is said to be a shape-shifter that usually takes the shape of a dark and murderous clown.<br /> * [[Frenchy the Clown]] is the eponymous character in National Lampoon's ''Evil Clown Comics''.<br /> * The Clown, a manifestation of the fears of several aliens in stasis for 19 years, as seen in the ''[[Star Trek: Voyager]]'' episode &quot;[[The Thaw (Star Trek)|The Thaw]]&quot;.<br /> * ''[[Masters of Horror]]'' episode &quot;[[We All Scream for Ice Cream (Masters of Horror episode)|We All Scream for Ice Cream]]&quot; had an [[ice cream]] man named Buster who dressed like a clown and came back from the dead to exact revenge.<br /> * On an episode of the horror comedy television series ''[[Buffy the Vampire Slayer (TV series)|Buffy the Vampire Slayer]]'', the character Xander Harris is revealed to have a fear of clowns, stemming from a bad incident at a birthday party. During the episode, he is chased around by an evil clown.<br /> * In ''[[The Brave Little Toaster]]'', Toaster, the main protagonist, has a nightmare where a [[demon]]ic [[clown]] (dressed as a firefighter) emerges from a cloud of smoke, whispers &quot;RUN!&quot; and attacks Toaster by spraying forks at him from his hose.<br /> *[[Captain Spaulding (Rob Zombie)|Captain Spaulding]], from [[Rob Zombie]]'s horror film(s), ''[[House of 1000 Corpses]]'' and ''[[The Devil's Rejects]]'', is an evil clown.<br /> *In the anime film ''[[Akira (film)|Akira]]'', there are two rival biker gangs. One gang, called the Clowns, dresses in clown-like outfits and acts much like evil clowns.<br /> *Horrabin from [[Tim Powers]]'s ''[[The Anubis Gates]]'' is an evil clown-sorcerer and beggar king who turns his subjects into deformed freaks so they could become more efficient beggars.<br /> * The 2007 horror film ''[[100 Tears]]'' centers around a serial killer clown named Gurdy the Clown, who was falsely accused of crime years prior and brutally murders innocent victims for what they did to him.<br /> * [[Violator (comics)|The Clown]] is arguably the archenemy of the comic book anti-hero [[Spawn (comics)|Spawn]].<br /> * [[Obnoxio the Clown]] was a cigar smoking, vulgar clown that appeared in Crazy Magazine (a Marvel Comics publication) as a recurring character in the 1980s, and in 1983 Marvel Comics also published a short-lived comic book based on this character.<br /> *Horny the Clown in a horror movie called ''[[Drive-Thru (film)|Drive-Thru]]'' about a serial killer demon clown that kills people at night at a restaurant called &quot;Hella Burger&quot;.<br /> * A creepy clown [[doll]] is featured in [[Tobe Hooper]]'s 1982 horror/supernatural movie [[Poltergeist (film)|Poltergeist]] ; Robbie, the older brother of the young girl played by [[Heather O'Rourke]], is terrified by this toy. At the end of the movie, the doll supernaturally comes to life and attempts to strangle him.<br /> * In an episode of [[Extreme Ghostbusters]], the team do battle with a circus consisting mostly of vampire clowns.<br /> * In the popular slasher film [[Halloween (1978 film)|Halloween]], serial killer Michael Myers claims his first victim as a child, his older sister, while wearing a clown costume on Halloween.<br /> * Kefka is a depicted as a psychotic clown in [[Final Fantasy VI]] mimicking the styles of a vaudeville clown.<br /> * Marx, the main antagonist in [[Kirby Super Star]] is shown to be a clown or a jester of some sort.<br /> * Dimentio, the true villain and final boss in [[Super Paper Mario]], is a demented clown with a twisted sense of humor and a sadistic personality.<br /> *Tricky the Clown is a vulgar, sometimes violent clown commonly featured in various [[Spam (electronic)| spam]] flash animations on [[Newgrounds|Newgrounds.com]], most notably, in the Madness Combat flash animations by Matt &quot;Krinkels&quot; Jolly, where he is shot and later turned zombie.<br /> * Adam the Clown is a psychotic clown that features as a boss in [[Dead Rising]]. He juggles active chainsaws, blows toxic gas-filled balloons,which he throws at you,and has a creepy high voice.<br /> *In the TV series ''[[Are You Afraid of the Dark?]]'', the character Kristen has a fear of clowns and two episodes of the series featured evil clowns as their antagonists; ''&quot;The Tale of the Crimson Clown&quot;'' and ''&quot;The Tale of Laughing in the Dark&quot;''. Zeebo, the clown from the latter, is referenced in numerous other episodes of the series.<br /> *[[Tira (Soulcalibur)|Tira]] from the ''[[Soul (series)|Soul]]'' series of [[fighting games]] has aspects of an evil clown, including vibrant, trashed clothing and a personality that incorporates &quot;playful&quot; sadism. In fact, her alternate costume in ''[[Soulcalibur IV]]'' is directly modeled after the concept of an evil clown or jester.<br /> *In an episode of [[Frasier]], Frasier has a client who is afraid of clowns. One Halloween, he dresses up as a clown to scare his father. His father has a heart attack and is taken to the hospital. Frasier follows, dressed in his clown costume. His patient is a nurse at the hospital. &quot;I am not a monster!&quot; Frasier declaims, before trying to exit in an elevator where the nurse/patient appears. She screams, once, twice, thrice, before Frasier bolts in the other direction.<br /> * In [[Soul Eater (manga)]], an antagonist is a clown who is the insanity in itself.<br /> * [[Doctor Who]] and its various spin-offs have featured evil clowns many times in the past. The Doctor Who episode [[The Greatest Show in the Galaxy]] featured robotic evil clowns working in an alien circus. In the Doctor Who spinoff [[Torchwood]] episode From out of the Rain, the Ghost Maker was, according to the writers of the show, based on a scary doll of a clownish ringmaster, and the spinoff [[Sarah Jane Adventures]] episode &quot;Day of the Clown&quot; featured a variation of the [[Pied Piper]] myth where the Piper was revealed to be an evil clown who would hypnotise children with red balloons and kidnap them.<br /> * In the [[American Dragon: Jake Long]] ''Half Baked'' a circus of clowns are transformed into half-human, half monster hybrids after eating cupcakes containing the venom of a Krylock Demon, a half [[cobra]], half [[scorpion]] monster but are reverted back to normal after the Krylock Demon is destroyed by Jake Long.<br /> * In the American show [[Mighty Morphin Power Rangers]] features a monster called Pineoctopus, an octopus/pineapple hybrid that could transform into an evil clown that turned people into cardboard cutouts, he is based on Dora Endos from the Japanese show [[Kyoryu Sentai Zyuranger]]. In the Japanese [[Super Sentai]] series [[Ninpuu Sentai Hurricaneger]] features a clown villain named Satorakura, the American version of the show [[Power Rangers: Ninja Storm]] features a character based on Satorakura named Shimazu, also an evil clown. The monsters that serve them are also clown-based.<br /> *The BBC sitcom [[The League of Gentlemen]] features an evil clown in the nightmarish form of [[Papa Lazarou]], and the sitcom [[Psychoville]] (which was written by most of the people who had written the League of Gentlemen), the character Mr Jelly was supposed to look and act like an evil clown until he was slowly revealed to be an honest, good natured clown who had been worn out by unfortunate events throughout his life as the series progressed.<br /> *In the 1973 movie ''Let's Visit The World of the Future'' (by [[Ivan Stang]]), the World of the Future is ruled by a society of evil clowns known as the &quot;Bozos&quot; or &quot;Bozo Cult&quot;. The Bozo Cult members are described in the film's introduction as being &quot;Permanently Inebriated&quot; thanks to brain surgery that they undergo as part of their initiation. Throughout the film, these &quot;Bozos&quot; are shown extremely cruel pranks on people, as well as performing far less subtle acts of unprovoked violence.<br /> *In the videogame [[Grand Theft Auto 2]], members of the gang called the &quot;Loonies&quot; drive around in clown cars.<br /> <br /> ==See also==<br /> *[[Trickster]]<br /> *[[Bouffon]]<br /> *''[[Ubu Roi]]''<br /> *[[Pueblo Clowns]]<br /> *&quot;[[Can't sleep, clown will eat me]]&quot;<br /> * [[TV Tropes]]<br /> <br /> ==References==<br /> {{unsourced}}<br /> {{reflist}}<br /> <br /> {{Polytonic|}}<br /> <br /> [[Category:Clowns]]<br /> [[Category:Stock characters]]<br /> <br /> [[fr:Clown maléfique]]<br /> [[it:Clown malvagio]]<br /> [[lt:Velniškas klounas]]<br /> [[sv:Ond clown]]</div> Repku https://de.wikipedia.org/w/index.php?title=B%C3%B6ser_Clown&diff=158997074 Böser Clown 2009-08-24T00:52:58Z <p>Repku: </p> <hr /> <div>{{mergeto|Coulrophobia|date=November 2008}}<br /> [[File:Scary clown.jpg|thumb|250px|&lt;center&gt;Scary clown]]<br /> The image of the '''evil clown''' is a development in [[United States|American]] [[popular culture]], {{or}} in which the playful [[trope (literature)|trope]] of the [[clown]] is rendered as disturbing through the use of [[Horror and terror|horror]] elements and [[dark humor]]. {{fact}}<br /> <br /> ==Background==<br /> The concept of the evil clown is related to the irrational fear of clowns, known as [[coulrophobia]].<br /> <br /> The cultural critic [[Mark Dery]] has theorized the postmodern archetype of the Evil Clown in &quot;Cotton Candy Autopsy: Deconstructing Psycho-Killer Clowns&quot; (a chapter in his cultural critique ''The Pyrotechnic Insanitarium: American Culture on the Brink''). Tracking the image of the demented or deviant clown across popular culture, Dery analyzes the &quot;Pogo the Clown&quot; persona of the serial killer [[John Wayne Gacy]]; the obscene clowns of the neo-Situationist Cacophony Society; [[The Joker]] (of &quot;[[Batman]]&quot; Fame); the grotesque art of [[R.K. Sloane]]; the sick-funny [[Bobcat Goldthwaite]] comedy &quot;Shakes the Clown&quot;; [[Stephen King]]'s ''[[It (novel)|It]]'', and the graphic novel ''[[Arkham Asylum]]''. Using [[Mikhail Bakhtin]]'s theory of the carnivalesque, Jungian and historical writings on the images of the fool in myth and history, and ruminations on the mingling of ecstasy and dread in the Information Age, Dery asserts the Evil Clown is an icon for our times.<br /> <br /> ==Evil clown in popular culture==<br /> *In real life, the infamous [[John Wayne Gacy]] was nicknamed 'Killer Clown', though this was simply the media using the fact that he dressed as a clown at times, he never killed looking like one.<br /> <br /> Major examples of &quot;evil clown&quot; imagery are:<br /> * [[Joker (comics)|The Joker]], who is the [[archenemy]] of [[Batman]], is a murderously insane evil [[super villain]] with a disturbing clown-like appearance. The character first appeared in ''Batman #1'' (1940). However, his facial appearance was inspired by the character of Gwynplaine from the movie [[The Man Who Laughs]], which starred [[Conrad Veidt]] as that character. Gwynplaine had been a victim of gypses who had cut off his lips so it appeared as if he were always smiling.<br /> * In the Batman related cartoon series [[Batman Beyond]], a group of antagonists who take after the deceased [[Joker (comics)|Joker]] dress in clown outfits similar to the original villain and call themselves The Jokerz.<br /> * The [[Stephen King]] novel ''[[It (novel)|It]]'', as well as the TV [[It (1990 film)|movie]] featuring [[Tim Curry]], revolves around seven children who are haunted by an evil shape-shifting creature that often takes the form of an evil clown named [[It (novel)#It|Pennywise]].<br /> * [[Tripping the Rift]] has the Dark Clown Empire, led by Darph Bobo.<br /> * The Clown, the archenemy of the golden age heroes [[Magno the Magnetic Man]] and Davey in comics published by [[Ace Comics (publishers)|Ace Comics]].<br /> * Konrad Beezo and his son Punchinello are the antagonists in the novel ''[[Life Expectancy (novel)|Life Expectancy]]'', by [[Dean Koontz]]. Also, there are two minor villains, Honker and Crinkles, who are arguably also &quot;evil&quot; clowns.<br /> * Musical groups such as the [[Insane Clown Posse]], [[Twiztid]], [[Blaze Ya Dead Homie]], [[Boondox]], [[Anybody Killa]] [[Dangerous Toys]], [[Mr. Bungle]], [[Shawn &quot;Clown&quot; Crahan]] of [[Slipknot (band)|Slipknot]], and [[Tech N9ne]] aka &quot;killa klown&quot;, impersonate clowns in a &quot;creepy&quot; manner.<br /> * The [[Evil Clown of Middletown]], a [[New Jersey]] roadside advertisement, appears in the first few minutes of [[Kevin Smith (film maker)|Kevin Smith]]'s film ''[[Clerks II]]'' (2006).<br /> * In the early 1990s an evil clown character was featured in the [[World Wrestling Entertainment|World Wrestling Federation]] (WWF). [[Doink the Clown]] was portrayed as a villain early on in his career. He would do cruel things such as pop children's balloons with a cigar, splash water on the audience, and use a fake prosthetic arm to attack opponents. Once he even attacked an opponent with a car battery. His entrance theme music was a typical happy circus tune (&quot;[[Entrance of the Gladiators]]&quot;) which would quickly segue into dark and menacing music, complete with evil cackling sound effects.<br /> * An evil clown named [[Buggy the Clown]] is a villain in the anime series ''[[One Piece]]''.<br /> * The [[science fiction film|sci fi]] movie ''[[Killer Klowns from Outer Space]]'' (1988) features human-eating aliens who resemble evil clowns.<br /> * In an episode of [[Mona the Vampire]], the kids come face-to-face with a clown/[[werewolf]] hybrid known as a Were-clown.<br /> * [[Universal Studios]] [[Halloween Horror Nights (Orlando)|Halloween Horror Nights]] has used a sadistic character named [[Halloween Horror Nights (Orlando)#Event Icons|Jack the Clown]] as an event icon for several years.<br /> * ''A Dark Place'' by Steven Shiverdecker is a book published by Infinity Publishing about a grotesque, murderous clown.<br /> * [[Sweet Tooth (Twisted Metal)|Sweet Tooth]], a character from the ''[[Twisted Metal]]'' video game series, is an evil clown. Though the level of his evil deeds varies from game to game. His wishes are usually destructive, murderous, or sometimes just silly.<br /> *In the Anime [[Hunter X Hunter]], one of the main character is [[Hisoka]]. He is sadistic, and notorious for killing strong opponents. He joins [[Phantom Troupe|Phantom troupe]] one of the strongest gang on the anime, joins for the sole purpose of killing the gangs leader [[Kuroro Lucifer]]<br /> * In the series ''[[Digimon]]'', the most powerful and evil Dark Master, [[wikia:digimon:List of Mega Digimon (Part 4)#Piedmon|Piedmon]], is said to be a shape-shifter that usually takes the shape of a dark and murderous clown.<br /> * [[Frenchy the Clown]] is the eponymous character in National Lampoon's ''Evil Clown Comics''.<br /> * The Clown, a manifestation of the fears of several aliens in stasis for 19 years, as seen in the ''[[Star Trek: Voyager]]'' episode &quot;[[The Thaw (Star Trek)|The Thaw]]&quot;.<br /> * ''[[Masters of Horror]]'' episode &quot;[[We All Scream for Ice Cream (Masters of Horror episode)|We All Scream for Ice Cream]]&quot; had an [[ice cream]] man named Buster who dressed like a clown and came back from the dead to exact revenge.<br /> * On an episode of the horror comedy television series ''[[Buffy the Vampire Slayer (TV series)|Buffy the Vampire Slayer]]'', the character Xander Harris is revealed to have a fear of clowns, stemming from a bad incident at a birthday party. During the episode, he is chased around by an evil clown.<br /> * In ''[[The Brave Little Toaster]]'', Toaster, the main protagonist, has a nightmare where a [[demon]]ic [[clown]] (dressed as a firefighter) emerges from a cloud of smoke, whispers &quot;RUN!&quot; and attacks Toaster by spraying forks at him from his hose.<br /> *[[Captain Spaulding (Rob Zombie)|Captain Spaulding]], from [[Rob Zombie]]'s horror film(s), ''[[House of 1000 Corpses]]'' and ''[[The Devil's Rejects]]'', is an evil clown.<br /> *In the anime film ''[[Akira (film)|Akira]]'', there are two rival biker gangs. One gang, called the Clowns, dresses in clown-like outfits and acts much like evil clowns.<br /> *Horrabin from [[Tim Powers]]'s ''[[The Anubis Gates]]'' is an evil clown-sorcerer and beggar king who turns his subjects into deformed freaks so they could become more efficient beggars.<br /> * The 2007 horror film ''[[100 Tears]]'' centers around a serial killer clown named Gurdy the Clown, who was falsely accused of crime years prior and brutally murders innocent victims for what they did to him.<br /> * [[Violator (comics)|The Clown]] is arguably the archenemy of the comic book anti-hero [[Spawn (comics)|Spawn]].<br /> * [[Obnoxio the Clown]] was a cigar smoking, vulgar clown that appeared in Crazy Magazine (a Marvel Comics publication) as a recurring character in the 1980s, and in 1983 Marvel Comics also published a short-lived comic book based on this character.<br /> *Horny the Clown in a horror movie called ''[[Drive-Thru (film)|Drive-Thru]]'' about a serial killer demon clown that kills people at night at a restaurant called &quot;Hella Burger&quot;.<br /> * A creepy clown [[doll]] is featured in [[Tobe Hooper]]'s 1982 horror/supernatural movie [[Poltergeist (film)|Poltergeist]] ; Robbie, the older brother of the young girl played by [[Heather O'Rourke]], is terrified by this toy. At the end of the movie, the doll supernaturally comes to life and attempts to strangle him.<br /> * In an episode of [[Extreme Ghostbusters]], the team do battle with a circus consisting mostly of vampire clowns.<br /> * In the popular slasher film [[Halloween (1978 film)|Halloween]], serial killer Michael Myers claims his first victim as a child, his older sister, while wearing a clown costume on Halloween.<br /> * Kefka is a depicted as a psychotic clown in [[Final Fantasy VI]] mimicking the styles of a vaudeville clown.<br /> * Marx, the main antagonist in [[Kirby Super Star]] is shown to be a clown or a jester of some sort.<br /> * Dimentio, the true villain and final boss in [[Super Paper Mario]], is a demented clown with a twisted sense of humor and a sadistic personality.<br /> *Tricky the Clown is a vulgar, sometimes violent clown commonly featured in various [[Spam (electronic)| spam]] flash animations on [[Newgrounds|Newgrounds.com]], most notably, in the Madness Combat flash animations by Matt &quot;Krinkels&quot; Jolly, where he is shot and later turned zombie.<br /> * Adam the Clown is a psychotic clown that features as a boss in [[Dead Rising]]. He juggles active chainsaws, blows toxic gas-filled balloons,which he throws at you,and has a creepy high voice.<br /> *In the TV series ''[[Are You Afraid of the Dark?]]'', the character Kristen has a fear of clowns and two episodes of the series featured evil clowns as their antagonists; ''&quot;The Tale of the Crimson Clown&quot;'' and ''&quot;The Tale of Laughing in the Dark&quot;''. Zeebo, the clown from the latter, is referenced in numerous other episodes of the series.<br /> *[[Tira (Soulcalibur)|Tira]] from the ''[[Soul (series)|Soul]]'' series of [[fighting games]] has aspects of an evil clown, including vibrant, trashed clothing and a personality that incorporates &quot;playful&quot; sadism. In fact, her alternate costume in ''[[Soulcalibur IV]]'' is directly modeled after the concept of an evil clown or jester.<br /> *In an episode of [[Frasier]], Frasier has a client who is afraid of clowns. One Halloween, he dresses up as a clown to scare his father. His father has a heart attack and is taken to the hospital. Frasier follows, dressed in his clown costume. His patient is a nurse at the hospital. &quot;I am not a monster!&quot; Frasier declaims, before trying to exit in an elevator where the nurse/patient appears. She screams, once, twice, thrice, before Frasier bolts in the other direction.<br /> * In [[Soul Eater (manga)]], an antagonist is a clown who is the insanity in itself.<br /> * [[Doctor Who]] and its various spin-offs have featured evil clowns many times in the past. The Doctor Who episode [[The Greatest Show in the Galaxy]] featured robotic evil clowns working in an alien circus. In the Doctor Who spinoff [[Torchwood]] episode From out of the Rain, the Ghost Maker was, according to the writers of the show, based on a scary doll of a clownish ringmaster, and the spinoff [[Sarah Jane Adventures]] episode &quot;Day of the Clown&quot; featured a variation of the [[Pied Piper]] myth where the Piper was revealed to be an evil clown who would hypnotise children with red balloons and kidnap them.<br /> * In the [[American Dragon: Jake Long]] ''Half Baked'' a circus of clowns are transformed into half-human, half monster hybrids after eating cupcakes containing the venom of a Krylock Demon, a half [[cobra]], half [[scorpion]] monster but are reverted back to normal after the Krylock Demon is destroyed by Jake Long.<br /> * In the American show [[Mighty Morphin Power Rangers]] features a monster called Pineoctopus, an octopus/pineapple hybrid that could transform into an evil clown that turned people into cardboard cutouts, he is based on Dora Endos from the Japanese show [[Kyoryu Sentai Zyuranger]]. In the Japanese [[Super Sentai]] series [[Ninpuu Sentai Hurricaneger]] features a clown villain named Satorakura, the American version of the show [[Power Rangers: Ninja Storm]] features a character based on Satorakura named Shimazu, also an evil clown. The monsters that serve them are also clown-based.<br /> *The BBC sitcom [[The League of Gentlemen]] features an evil clown in the nightmarish form of [[Papa Lazarou]], and the sitcom [[Psychoville]] (which was written by most of the people who had written the League of Gentlemen), the character Mr Jelly was supposed to look and act like an evil clown until he was slowly revealed to be an honest, good natured clown who had been worn out by unfortunate events throughout his life as the series progressed.<br /> *In the 1973 movie ''Let's Visit The World of the Future'' (by [[Ivan Stang]]), the World of the Future is ruled by a society of evil clowns known as the &quot;Bozos&quot; or &quot;Bozo Cult&quot;. The Bozo Cult members are described in the film's introduction as being &quot;Permanently Inebriated&quot; thanks to brain surgery that they undergo as part of their initiation. Throughout the film, these &quot;Bozos&quot; are shown extremely cruel pranks on people, as well as performing far less subtle acts of unprovoked violence.<br /> *In the videogame [[Grand Theft Auto 2]], members of the gang called the &quot;Loonies&quot; drive around in clown cars.<br /> <br /> ==See also==<br /> *[[Trickster]]<br /> *[[Bouffon]]<br /> *''[[Ubu Roi]]''<br /> *[[Pueblo Clowns]]<br /> *&quot;[[Can't sleep, clown will eat me]]&quot;<br /> * [[TV Tropes]]<br /> <br /> ==References==<br /> {{unsourced}}<br /> {{reflist}}<br /> <br /> {{Polytonic|}}<br /> <br /> [[Category:Clowns]]<br /> [[Category:Stock characters]]<br /> <br /> [[fr:Clown maléfique]]<br /> [[it:Clown malvagio]]<br /> [[lt:Velniškas klounas]]<br /> [[sv:Ond clown]]</div> Repku https://de.wikipedia.org/w/index.php?title=B%C3%B6ser_Clown&diff=158997073 Böser Clown 2009-08-24T00:51:42Z <p>Repku: </p> <hr /> <div>{{mergeto|Coulrophobia|date=November 2008}}<br /> {{Refimprove|date=October 2008}}<br /> [[File:Scary clown.jpg|thumb|250px|&lt;center&gt;Scary clown]]<br /> The image of the '''evil clown''' is a development in [[United States|American]] [[popular culture]], {{or}} in which the playful [[trope (literature)|trope]] of the [[clown]] is rendered as disturbing through the use of [[Horror and terror|horror]] elements and [[dark humor]]. {{fact}}<br /> <br /> ==Background==<br /> The concept of the evil clown is related to the irrational fear of clowns, known as [[coulrophobia]].<br /> <br /> The cultural critic [[Mark Dery]] has theorized the postmodern archetype of the Evil Clown in &quot;Cotton Candy Autopsy: Deconstructing Psycho-Killer Clowns&quot; (a chapter in his cultural critique ''The Pyrotechnic Insanitarium: American Culture on the Brink''). Tracking the image of the demented or deviant clown across popular culture, Dery analyzes the &quot;Pogo the Clown&quot; persona of the serial killer [[John Wayne Gacy]]; the obscene clowns of the neo-Situationist Cacophony Society; [[The Joker]] (of &quot;[[Batman]]&quot; Fame); the grotesque art of [[R.K. Sloane]]; the sick-funny [[Bobcat Goldthwaite]] comedy &quot;Shakes the Clown&quot;; [[Stephen King]]'s ''[[It (novel)|It]]'', and the graphic novel ''[[Arkham Asylum]]''. Using [[Mikhail Bakhtin]]'s theory of the carnivalesque, Jungian and historical writings on the images of the fool in myth and history, and ruminations on the mingling of ecstasy and dread in the Information Age, Dery asserts the Evil Clown is an icon for our times.<br /> <br /> ==Evil clown in popular culture==<br /> *In real life, the infamous [[John Wayne Gacy]] was nicknamed 'Killer Clown', though this was simply the media using the fact that he dressed as a clown at times, he never killed looking like one.<br /> <br /> Major examples of &quot;evil clown&quot; imagery are:<br /> * [[Joker (comics)|The Joker]], who is the [[archenemy]] of [[Batman]], is a murderously insane evil [[super villain]] with a disturbing clown-like appearance. The character first appeared in ''Batman #1'' (1940). However, his facial appearance was inspired by the character of Gwynplaine from the movie [[The Man Who Laughs]], which starred [[Conrad Veidt]] as that character. Gwynplaine had been a victim of gypses who had cut off his lips so it appeared as if he were always smiling.<br /> * In the Batman related cartoon series [[Batman Beyond]], a group of antagonists who take after the deceased [[Joker (comics)|Joker]] dress in clown outfits similar to the original villain and call themselves The Jokerz.<br /> * The [[Stephen King]] novel ''[[It (novel)|It]]'', as well as the TV [[It (1990 film)|movie]] featuring [[Tim Curry]], revolves around seven children who are haunted by an evil shape-shifting creature that often takes the form of an evil clown named [[It (novel)#It|Pennywise]].<br /> * [[Tripping the Rift]] has the Dark Clown Empire, led by Darph Bobo.<br /> * The Clown, the archenemy of the golden age heroes [[Magno the Magnetic Man]] and Davey in comics published by [[Ace Comics (publishers)|Ace Comics]].<br /> * Konrad Beezo and his son Punchinello are the antagonists in the novel ''[[Life Expectancy (novel)|Life Expectancy]]'', by [[Dean Koontz]]. Also, there are two minor villains, Honker and Crinkles, who are arguably also &quot;evil&quot; clowns.<br /> * Musical groups such as the [[Insane Clown Posse]], [[Twiztid]], [[Blaze Ya Dead Homie]], [[Boondox]], [[Anybody Killa]] [[Dangerous Toys]], [[Mr. Bungle]], [[Shawn &quot;Clown&quot; Crahan]] of [[Slipknot (band)|Slipknot]], and [[Tech N9ne]] aka &quot;killa klown&quot;, impersonate clowns in a &quot;creepy&quot; manner.<br /> * The [[Evil Clown of Middletown]], a [[New Jersey]] roadside advertisement, appears in the first few minutes of [[Kevin Smith (film maker)|Kevin Smith]]'s film ''[[Clerks II]]'' (2006).<br /> * In the early 1990s an evil clown character was featured in the [[World Wrestling Entertainment|World Wrestling Federation]] (WWF). [[Doink the Clown]] was portrayed as a villain early on in his career. He would do cruel things such as pop children's balloons with a cigar, splash water on the audience, and use a fake prosthetic arm to attack opponents. Once he even attacked an opponent with a car battery. His entrance theme music was a typical happy circus tune (&quot;[[Entrance of the Gladiators]]&quot;) which would quickly segue into dark and menacing music, complete with evil cackling sound effects.<br /> * An evil clown named [[Buggy the Clown]] is a villain in the anime series ''[[One Piece]]''.<br /> * The [[science fiction film|sci fi]] movie ''[[Killer Klowns from Outer Space]]'' (1988) features human-eating aliens who resemble evil clowns.<br /> * In an episode of [[Mona the Vampire]], the kids come face-to-face with a clown/[[werewolf]] hybrid known as a Were-clown.<br /> * [[Universal Studios]] [[Halloween Horror Nights (Orlando)|Halloween Horror Nights]] has used a sadistic character named [[Halloween Horror Nights (Orlando)#Event Icons|Jack the Clown]] as an event icon for several years.<br /> * ''A Dark Place'' by Steven Shiverdecker is a book published by Infinity Publishing about a grotesque, murderous clown.<br /> * [[Sweet Tooth (Twisted Metal)|Sweet Tooth]], a character from the ''[[Twisted Metal]]'' video game series, is an evil clown. Though the level of his evil deeds varies from game to game. His wishes are usually destructive, murderous, or sometimes just silly.<br /> *In the Anime [[Hunter X Hunter]], one of the main character is [[Hisoka]]. He is sadistic, and notorious for killing strong opponents. He joins [[Phantom Troupe|Phantom troupe]] one of the strongest gang on the anime, joins for the sole purpose of killing the gangs leader [[Kuroro Lucifer]]<br /> * In the series ''[[Digimon]]'', the most powerful and evil Dark Master, [[wikia:digimon:List of Mega Digimon (Part 4)#Piedmon|Piedmon]], is said to be a shape-shifter that usually takes the shape of a dark and murderous clown.<br /> * [[Frenchy the Clown]] is the eponymous character in National Lampoon's ''Evil Clown Comics''.<br /> * The Clown, a manifestation of the fears of several aliens in stasis for 19 years, as seen in the ''[[Star Trek: Voyager]]'' episode &quot;[[The Thaw (Star Trek)|The Thaw]]&quot;.<br /> * ''[[Masters of Horror]]'' episode &quot;[[We All Scream for Ice Cream (Masters of Horror episode)|We All Scream for Ice Cream]]&quot; had an [[ice cream]] man named Buster who dressed like a clown and came back from the dead to exact revenge.<br /> * On an episode of the horror comedy television series ''[[Buffy the Vampire Slayer (TV series)|Buffy the Vampire Slayer]]'', the character Xander Harris is revealed to have a fear of clowns, stemming from a bad incident at a birthday party. During the episode, he is chased around by an evil clown.<br /> * In ''[[The Brave Little Toaster]]'', Toaster, the main protagonist, has a nightmare where a [[demon]]ic [[clown]] (dressed as a firefighter) emerges from a cloud of smoke, whispers &quot;RUN!&quot; and attacks Toaster by spraying forks at him from his hose.<br /> *[[Captain Spaulding (Rob Zombie)|Captain Spaulding]], from [[Rob Zombie]]'s horror film(s), ''[[House of 1000 Corpses]]'' and ''[[The Devil's Rejects]]'', is an evil clown.<br /> *In the anime film ''[[Akira (film)|Akira]]'', there are two rival biker gangs. One gang, called the Clowns, dresses in clown-like outfits and acts much like evil clowns.<br /> *Horrabin from [[Tim Powers]]'s ''[[The Anubis Gates]]'' is an evil clown-sorcerer and beggar king who turns his subjects into deformed freaks so they could become more efficient beggars.<br /> * The 2007 horror film ''[[100 Tears]]'' centers around a serial killer clown named Gurdy the Clown, who was falsely accused of crime years prior and brutally murders innocent victims for what they did to him.<br /> * [[Violator (comics)|The Clown]] is arguably the archenemy of the comic book anti-hero [[Spawn (comics)|Spawn]].<br /> * [[Obnoxio the Clown]] was a cigar smoking, vulgar clown that appeared in Crazy Magazine (a Marvel Comics publication) as a recurring character in the 1980s, and in 1983 Marvel Comics also published a short-lived comic book based on this character.<br /> *Horny the Clown in a horror movie called ''[[Drive-Thru (film)|Drive-Thru]]'' about a serial killer demon clown that kills people at night at a restaurant called &quot;Hella Burger&quot;.<br /> * A creepy clown [[doll]] is featured in [[Tobe Hooper]]'s 1982 horror/supernatural movie [[Poltergeist (film)|Poltergeist]] ; Robbie, the older brother of the young girl played by [[Heather O'Rourke]], is terrified by this toy. At the end of the movie, the doll supernaturally comes to life and attempts to strangle him.<br /> * In an episode of [[Extreme Ghostbusters]], the team do battle with a circus consisting mostly of vampire clowns.<br /> * In the popular slasher film [[Halloween (1978 film)|Halloween]], serial killer Michael Myers claims his first victim as a child, his older sister, while wearing a clown costume on Halloween.<br /> * Kefka is a depicted as a psychotic clown in [[Final Fantasy VI]] mimicking the styles of a vaudeville clown.<br /> * Marx, the main antagonist in [[Kirby Super Star]] is shown to be a clown or a jester of some sort.<br /> * Dimentio, the true villain and final boss in [[Super Paper Mario]], is a demented clown with a twisted sense of humor and a sadistic personality.<br /> *Tricky the Clown is a vulgar, sometimes violent clown commonly featured in various [[Spam (electronic)| spam]] flash animations on [[Newgrounds|Newgrounds.com]], most notably, in the Madness Combat flash animations by Matt &quot;Krinkels&quot; Jolly, where he is shot and later turned zombie.<br /> * Adam the Clown is a psychotic clown that features as a boss in [[Dead Rising]]. He juggles active chainsaws, blows toxic gas-filled balloons,which he throws at you,and has a creepy high voice.<br /> *In the TV series ''[[Are You Afraid of the Dark?]]'', the character Kristen has a fear of clowns and two episodes of the series featured evil clowns as their antagonists; ''&quot;The Tale of the Crimson Clown&quot;'' and ''&quot;The Tale of Laughing in the Dark&quot;''. Zeebo, the clown from the latter, is referenced in numerous other episodes of the series.<br /> *[[Tira (Soulcalibur)|Tira]] from the ''[[Soul (series)|Soul]]'' series of [[fighting games]] has aspects of an evil clown, including vibrant, trashed clothing and a personality that incorporates &quot;playful&quot; sadism. In fact, her alternate costume in ''[[Soulcalibur IV]]'' is directly modeled after the concept of an evil clown or jester.<br /> *In an episode of [[Frasier]], Frasier has a client who is afraid of clowns. One Halloween, he dresses up as a clown to scare his father. His father has a heart attack and is taken to the hospital. Frasier follows, dressed in his clown costume. His patient is a nurse at the hospital. &quot;I am not a monster!&quot; Frasier declaims, before trying to exit in an elevator where the nurse/patient appears. She screams, once, twice, thrice, before Frasier bolts in the other direction.<br /> * In [[Soul Eater (manga)]], an antagonist is a clown who is the insanity in itself.<br /> * [[Doctor Who]] and its various spin-offs have featured evil clowns many times in the past. The Doctor Who episode [[The Greatest Show in the Galaxy]] featured robotic evil clowns working in an alien circus. In the Doctor Who spinoff [[Torchwood]] episode From out of the Rain, the Ghost Maker was, according to the writers of the show, based on a scary doll of a clownish ringmaster, and the spinoff [[Sarah Jane Adventures]] episode &quot;Day of the Clown&quot; featured a variation of the [[Pied Piper]] myth where the Piper was revealed to be an evil clown who would hypnotise children with red balloons and kidnap them.<br /> * In the [[American Dragon: Jake Long]] ''Half Baked'' a circus of clowns are transformed into half-human, half monster hybrids after eating cupcakes containing the venom of a Krylock Demon, a half [[cobra]], half [[scorpion]] monster but are reverted back to normal after the Krylock Demon is destroyed by Jake Long.<br /> * In the American show [[Mighty Morphin Power Rangers]] features a monster called Pineoctopus, an octopus/pineapple hybrid that could transform into an evil clown that turned people into cardboard cutouts, he is based on Dora Endos from the Japanese show [[Kyoryu Sentai Zyuranger]]. In the Japanese [[Super Sentai]] series [[Ninpuu Sentai Hurricaneger]] features a clown villain named Satorakura, the American version of the show [[Power Rangers: Ninja Storm]] features a character based on Satorakura named Shimazu, also an evil clown. The monsters that serve them are also clown-based.<br /> *The BBC sitcom [[The League of Gentlemen]] features an evil clown in the nightmarish form of [[Papa Lazarou]], and the sitcom [[Psychoville]] (which was written by most of the people who had written the League of Gentlemen), the character Mr Jelly was supposed to look and act like an evil clown until he was slowly revealed to be an honest, good natured clown who had been worn out by unfortunate events throughout his life as the series progressed.<br /> *In the 1973 movie ''Let's Visit The World of the Future'' (by [[Ivan Stang]]), the World of the Future is ruled by a society of evil clowns known as the &quot;Bozos&quot; or &quot;Bozo Cult&quot;. The Bozo Cult members are described in the film's introduction as being &quot;Permanently Inebriated&quot; thanks to brain surgery that they undergo as part of their initiation. Throughout the film, these &quot;Bozos&quot; are shown extremely cruel pranks on people, as well as performing far less subtle acts of unprovoked violence.<br /> *In the videogame [[Grand Theft Auto 2]], members of the gang called the &quot;Loonies&quot; drive around in clown cars.<br /> <br /> ==See also==<br /> *[[Trickster]]<br /> *[[Bouffon]]<br /> *''[[Ubu Roi]]''<br /> *[[Pueblo Clowns]]<br /> *&quot;[[Can't sleep, clown will eat me]]&quot;<br /> * [[TV Tropes]]<br /> <br /> ==References==<br /> {{reflist}}<br /> <br /> {{Polytonic|}}<br /> <br /> [[Category:Clowns]]<br /> [[Category:Stock characters]]<br /> <br /> [[fr:Clown maléfique]]<br /> [[it:Clown malvagio]]<br /> [[lt:Velniškas klounas]]<br /> [[sv:Ond clown]]</div> Repku https://de.wikipedia.org/w/index.php?title=B%C3%B6ser_Clown&diff=158997072 Böser Clown 2009-08-24T00:51:15Z <p>Repku: </p> <hr /> <div>{{mergeto|Coulrophobia|date=November 2008}}<br /> {{Refimprove|date=October 2008}}<br /> [[File:Scary clown.jpg|thumb|250px|&lt;center&gt;Scary clown]]<br /> The image of the '''evil clown''' is a development in [[United States|American]] [[popular culture]], {{or}} in which the playful [[trope (literature)|trope]] of the [[clown]] is rendered as disturbing through the use of [[Horror and terror|horror]] elements and [[dark humor]].<br /> <br /> ==Background==<br /> The concept of the evil clown is related to the irrational fear of clowns, known as [[coulrophobia]].<br /> <br /> The cultural critic [[Mark Dery]] has theorized the postmodern archetype of the Evil Clown in &quot;Cotton Candy Autopsy: Deconstructing Psycho-Killer Clowns&quot; (a chapter in his cultural critique ''The Pyrotechnic Insanitarium: American Culture on the Brink''). Tracking the image of the demented or deviant clown across popular culture, Dery analyzes the &quot;Pogo the Clown&quot; persona of the serial killer [[John Wayne Gacy]]; the obscene clowns of the neo-Situationist Cacophony Society; [[The Joker]] (of &quot;[[Batman]]&quot; Fame); the grotesque art of [[R.K. Sloane]]; the sick-funny [[Bobcat Goldthwaite]] comedy &quot;Shakes the Clown&quot;; [[Stephen King]]'s ''[[It (novel)|It]]'', and the graphic novel ''[[Arkham Asylum]]''. Using [[Mikhail Bakhtin]]'s theory of the carnivalesque, Jungian and historical writings on the images of the fool in myth and history, and ruminations on the mingling of ecstasy and dread in the Information Age, Dery asserts the Evil Clown is an icon for our times.<br /> <br /> ==Evil clown in popular culture==<br /> *In real life, the infamous [[John Wayne Gacy]] was nicknamed 'Killer Clown', though this was simply the media using the fact that he dressed as a clown at times, he never killed looking like one.<br /> <br /> Major examples of &quot;evil clown&quot; imagery are:<br /> * [[Joker (comics)|The Joker]], who is the [[archenemy]] of [[Batman]], is a murderously insane evil [[super villain]] with a disturbing clown-like appearance. The character first appeared in ''Batman #1'' (1940). However, his facial appearance was inspired by the character of Gwynplaine from the movie [[The Man Who Laughs]], which starred [[Conrad Veidt]] as that character. Gwynplaine had been a victim of gypses who had cut off his lips so it appeared as if he were always smiling.<br /> * In the Batman related cartoon series [[Batman Beyond]], a group of antagonists who take after the deceased [[Joker (comics)|Joker]] dress in clown outfits similar to the original villain and call themselves The Jokerz.<br /> * The [[Stephen King]] novel ''[[It (novel)|It]]'', as well as the TV [[It (1990 film)|movie]] featuring [[Tim Curry]], revolves around seven children who are haunted by an evil shape-shifting creature that often takes the form of an evil clown named [[It (novel)#It|Pennywise]].<br /> * [[Tripping the Rift]] has the Dark Clown Empire, led by Darph Bobo.<br /> * The Clown, the archenemy of the golden age heroes [[Magno the Magnetic Man]] and Davey in comics published by [[Ace Comics (publishers)|Ace Comics]].<br /> * Konrad Beezo and his son Punchinello are the antagonists in the novel ''[[Life Expectancy (novel)|Life Expectancy]]'', by [[Dean Koontz]]. Also, there are two minor villains, Honker and Crinkles, who are arguably also &quot;evil&quot; clowns.<br /> * Musical groups such as the [[Insane Clown Posse]], [[Twiztid]], [[Blaze Ya Dead Homie]], [[Boondox]], [[Anybody Killa]] [[Dangerous Toys]], [[Mr. Bungle]], [[Shawn &quot;Clown&quot; Crahan]] of [[Slipknot (band)|Slipknot]], and [[Tech N9ne]] aka &quot;killa klown&quot;, impersonate clowns in a &quot;creepy&quot; manner.<br /> * The [[Evil Clown of Middletown]], a [[New Jersey]] roadside advertisement, appears in the first few minutes of [[Kevin Smith (film maker)|Kevin Smith]]'s film ''[[Clerks II]]'' (2006).<br /> * In the early 1990s an evil clown character was featured in the [[World Wrestling Entertainment|World Wrestling Federation]] (WWF). [[Doink the Clown]] was portrayed as a villain early on in his career. He would do cruel things such as pop children's balloons with a cigar, splash water on the audience, and use a fake prosthetic arm to attack opponents. Once he even attacked an opponent with a car battery. His entrance theme music was a typical happy circus tune (&quot;[[Entrance of the Gladiators]]&quot;) which would quickly segue into dark and menacing music, complete with evil cackling sound effects.<br /> * An evil clown named [[Buggy the Clown]] is a villain in the anime series ''[[One Piece]]''.<br /> * The [[science fiction film|sci fi]] movie ''[[Killer Klowns from Outer Space]]'' (1988) features human-eating aliens who resemble evil clowns.<br /> * In an episode of [[Mona the Vampire]], the kids come face-to-face with a clown/[[werewolf]] hybrid known as a Were-clown.<br /> * [[Universal Studios]] [[Halloween Horror Nights (Orlando)|Halloween Horror Nights]] has used a sadistic character named [[Halloween Horror Nights (Orlando)#Event Icons|Jack the Clown]] as an event icon for several years.<br /> * ''A Dark Place'' by Steven Shiverdecker is a book published by Infinity Publishing about a grotesque, murderous clown.<br /> * [[Sweet Tooth (Twisted Metal)|Sweet Tooth]], a character from the ''[[Twisted Metal]]'' video game series, is an evil clown. Though the level of his evil deeds varies from game to game. His wishes are usually destructive, murderous, or sometimes just silly.<br /> *In the Anime [[Hunter X Hunter]], one of the main character is [[Hisoka]]. He is sadistic, and notorious for killing strong opponents. He joins [[Phantom Troupe|Phantom troupe]] one of the strongest gang on the anime, joins for the sole purpose of killing the gangs leader [[Kuroro Lucifer]]<br /> * In the series ''[[Digimon]]'', the most powerful and evil Dark Master, [[wikia:digimon:List of Mega Digimon (Part 4)#Piedmon|Piedmon]], is said to be a shape-shifter that usually takes the shape of a dark and murderous clown.<br /> * [[Frenchy the Clown]] is the eponymous character in National Lampoon's ''Evil Clown Comics''.<br /> * The Clown, a manifestation of the fears of several aliens in stasis for 19 years, as seen in the ''[[Star Trek: Voyager]]'' episode &quot;[[The Thaw (Star Trek)|The Thaw]]&quot;.<br /> * ''[[Masters of Horror]]'' episode &quot;[[We All Scream for Ice Cream (Masters of Horror episode)|We All Scream for Ice Cream]]&quot; had an [[ice cream]] man named Buster who dressed like a clown and came back from the dead to exact revenge.<br /> * On an episode of the horror comedy television series ''[[Buffy the Vampire Slayer (TV series)|Buffy the Vampire Slayer]]'', the character Xander Harris is revealed to have a fear of clowns, stemming from a bad incident at a birthday party. During the episode, he is chased around by an evil clown.<br /> * In ''[[The Brave Little Toaster]]'', Toaster, the main protagonist, has a nightmare where a [[demon]]ic [[clown]] (dressed as a firefighter) emerges from a cloud of smoke, whispers &quot;RUN!&quot; and attacks Toaster by spraying forks at him from his hose.<br /> *[[Captain Spaulding (Rob Zombie)|Captain Spaulding]], from [[Rob Zombie]]'s horror film(s), ''[[House of 1000 Corpses]]'' and ''[[The Devil's Rejects]]'', is an evil clown.<br /> *In the anime film ''[[Akira (film)|Akira]]'', there are two rival biker gangs. One gang, called the Clowns, dresses in clown-like outfits and acts much like evil clowns.<br /> *Horrabin from [[Tim Powers]]'s ''[[The Anubis Gates]]'' is an evil clown-sorcerer and beggar king who turns his subjects into deformed freaks so they could become more efficient beggars.<br /> * The 2007 horror film ''[[100 Tears]]'' centers around a serial killer clown named Gurdy the Clown, who was falsely accused of crime years prior and brutally murders innocent victims for what they did to him.<br /> * [[Violator (comics)|The Clown]] is arguably the archenemy of the comic book anti-hero [[Spawn (comics)|Spawn]].<br /> * [[Obnoxio the Clown]] was a cigar smoking, vulgar clown that appeared in Crazy Magazine (a Marvel Comics publication) as a recurring character in the 1980s, and in 1983 Marvel Comics also published a short-lived comic book based on this character.<br /> *Horny the Clown in a horror movie called ''[[Drive-Thru (film)|Drive-Thru]]'' about a serial killer demon clown that kills people at night at a restaurant called &quot;Hella Burger&quot;.<br /> * A creepy clown [[doll]] is featured in [[Tobe Hooper]]'s 1982 horror/supernatural movie [[Poltergeist (film)|Poltergeist]] ; Robbie, the older brother of the young girl played by [[Heather O'Rourke]], is terrified by this toy. At the end of the movie, the doll supernaturally comes to life and attempts to strangle him.<br /> * In an episode of [[Extreme Ghostbusters]], the team do battle with a circus consisting mostly of vampire clowns.<br /> * In the popular slasher film [[Halloween (1978 film)|Halloween]], serial killer Michael Myers claims his first victim as a child, his older sister, while wearing a clown costume on Halloween.<br /> * Kefka is a depicted as a psychotic clown in [[Final Fantasy VI]] mimicking the styles of a vaudeville clown.<br /> * Marx, the main antagonist in [[Kirby Super Star]] is shown to be a clown or a jester of some sort.<br /> * Dimentio, the true villain and final boss in [[Super Paper Mario]], is a demented clown with a twisted sense of humor and a sadistic personality.<br /> *Tricky the Clown is a vulgar, sometimes violent clown commonly featured in various [[Spam (electronic)| spam]] flash animations on [[Newgrounds|Newgrounds.com]], most notably, in the Madness Combat flash animations by Matt &quot;Krinkels&quot; Jolly, where he is shot and later turned zombie.<br /> * Adam the Clown is a psychotic clown that features as a boss in [[Dead Rising]]. He juggles active chainsaws, blows toxic gas-filled balloons,which he throws at you,and has a creepy high voice.<br /> *In the TV series ''[[Are You Afraid of the Dark?]]'', the character Kristen has a fear of clowns and two episodes of the series featured evil clowns as their antagonists; ''&quot;The Tale of the Crimson Clown&quot;'' and ''&quot;The Tale of Laughing in the Dark&quot;''. Zeebo, the clown from the latter, is referenced in numerous other episodes of the series.<br /> *[[Tira (Soulcalibur)|Tira]] from the ''[[Soul (series)|Soul]]'' series of [[fighting games]] has aspects of an evil clown, including vibrant, trashed clothing and a personality that incorporates &quot;playful&quot; sadism. In fact, her alternate costume in ''[[Soulcalibur IV]]'' is directly modeled after the concept of an evil clown or jester.<br /> *In an episode of [[Frasier]], Frasier has a client who is afraid of clowns. One Halloween, he dresses up as a clown to scare his father. His father has a heart attack and is taken to the hospital. Frasier follows, dressed in his clown costume. His patient is a nurse at the hospital. &quot;I am not a monster!&quot; Frasier declaims, before trying to exit in an elevator where the nurse/patient appears. She screams, once, twice, thrice, before Frasier bolts in the other direction.<br /> * In [[Soul Eater (manga)]], an antagonist is a clown who is the insanity in itself.<br /> * [[Doctor Who]] and its various spin-offs have featured evil clowns many times in the past. The Doctor Who episode [[The Greatest Show in the Galaxy]] featured robotic evil clowns working in an alien circus. In the Doctor Who spinoff [[Torchwood]] episode From out of the Rain, the Ghost Maker was, according to the writers of the show, based on a scary doll of a clownish ringmaster, and the spinoff [[Sarah Jane Adventures]] episode &quot;Day of the Clown&quot; featured a variation of the [[Pied Piper]] myth where the Piper was revealed to be an evil clown who would hypnotise children with red balloons and kidnap them.<br /> * In the [[American Dragon: Jake Long]] ''Half Baked'' a circus of clowns are transformed into half-human, half monster hybrids after eating cupcakes containing the venom of a Krylock Demon, a half [[cobra]], half [[scorpion]] monster but are reverted back to normal after the Krylock Demon is destroyed by Jake Long.<br /> * In the American show [[Mighty Morphin Power Rangers]] features a monster called Pineoctopus, an octopus/pineapple hybrid that could transform into an evil clown that turned people into cardboard cutouts, he is based on Dora Endos from the Japanese show [[Kyoryu Sentai Zyuranger]]. In the Japanese [[Super Sentai]] series [[Ninpuu Sentai Hurricaneger]] features a clown villain named Satorakura, the American version of the show [[Power Rangers: Ninja Storm]] features a character based on Satorakura named Shimazu, also an evil clown. The monsters that serve them are also clown-based.<br /> *The BBC sitcom [[The League of Gentlemen]] features an evil clown in the nightmarish form of [[Papa Lazarou]], and the sitcom [[Psychoville]] (which was written by most of the people who had written the League of Gentlemen), the character Mr Jelly was supposed to look and act like an evil clown until he was slowly revealed to be an honest, good natured clown who had been worn out by unfortunate events throughout his life as the series progressed.<br /> *In the 1973 movie ''Let's Visit The World of the Future'' (by [[Ivan Stang]]), the World of the Future is ruled by a society of evil clowns known as the &quot;Bozos&quot; or &quot;Bozo Cult&quot;. The Bozo Cult members are described in the film's introduction as being &quot;Permanently Inebriated&quot; thanks to brain surgery that they undergo as part of their initiation. Throughout the film, these &quot;Bozos&quot; are shown extremely cruel pranks on people, as well as performing far less subtle acts of unprovoked violence.<br /> *In the videogame [[Grand Theft Auto 2]], members of the gang called the &quot;Loonies&quot; drive around in clown cars.<br /> <br /> ==See also==<br /> *[[Trickster]]<br /> *[[Bouffon]]<br /> *''[[Ubu Roi]]''<br /> *[[Pueblo Clowns]]<br /> *&quot;[[Can't sleep, clown will eat me]]&quot;<br /> * [[TV Tropes]]<br /> <br /> ==References==<br /> {{reflist}}<br /> <br /> {{Polytonic|}}<br /> <br /> [[Category:Clowns]]<br /> [[Category:Stock characters]]<br /> <br /> [[fr:Clown maléfique]]<br /> [[it:Clown malvagio]]<br /> [[lt:Velniškas klounas]]<br /> [[sv:Ond clown]]</div> Repku https://de.wikipedia.org/w/index.php?title=0,999%E2%80%A6&diff=127433924 0,999… 2007-06-25T05:42:29Z <p>Repku: /* Skepticism */</p> <hr /> <div>&lt;!-- NOTE: The content of this article is well-established. If you have an argument against one or more of the proofs listed here, please read the FAQ on [[Talk:0.999...]], or discuss it on [[Talk:0.999.../Arguments]]. However, please understand that the earlier, more naive proofs are not as rigorous as the later ones as they intend to appeal to intuition, and as such may require further justification to be complete. Thank you. --&gt;<br /> [[Image:999 Perspective.png|300px|right]]&lt;!--[[Image:999 Perspective-color.png|300px|right]]--&gt;<br /> In [[mathematics]], the [[recurring decimal]] '''0.999…''' , which is also written as &lt;math&gt;0.\bar{9} , 0.\dot{9}&lt;/math&gt; or &lt;math&gt;\ 0.(9)&lt;/math&gt;, denotes a [[real number]] [[equality (mathematics)|equal]] to [[1 (number)|1]]. In other words, &quot;0.999…&quot; represents the same number as the symbol &quot;1&quot;. The equality has long been accepted by professional mathematicians and taught in textbooks. Various [[mathematical proof|proof]]s of this identity have been formulated with varying [[Rigour#Mathematical rigour|rigour]], preferred development of the real numbers, background assumptions, historical context, and target audience.<br /> <br /> In the last few decades, researchers of [[mathematics education]] have studied the reception of this [[equation]] among students. A great many question or reject the equality, at least initially. Common arguments against the equality assume that each unique [[decimal expansion]] must correspond to a unique number, that [[infinitesimal]] quantities should exist, or that 0.999…'s expansion should eventually terminate with a final 9. Number systems in which one or more of those assumptions hold can certainly be constructed, and in those systems 0.999… can be strictly [[less than]] 1. However, mathematics is most commonly performed using the [[real numbers]], a number system in which those assumptions happen to be false.<br /> <br /> Non-uniqueness of such expansions is not isolated to the decimal system. The same phenomenon occurs in [[integer]] [[radix|base]]s other than 10, and mathematicians have also quantified the ways of writing 1 in [[Non-integer representation|non-integer bases]]. Nor is this phenomenon unique to 1: every non-zero, terminating decimal has a twin with trailing 9s. For reasons of simplicity, the terminating decimal is almost always the preferred representation, further contributing to the misconception that it is the ''only'' representation. In fact, once infinite expansions are allowed, all [[positional numeral system]]s contain an infinity of ambiguous numbers. For example, 28.3287 is the same number as 28.3286999…, 28.3287000, or many other representations. These various identities have been applied to better understand patterns in the decimal expansions of [[fraction (mathematics)|fraction]]s and the structure of a simple [[fractal]], the [[Cantor set]]. They also occur in a classic investigation of the infinitude of the entire set of real numbers.<br /> <br /> ==Introduction==<br /> 0.999… is a number written in the [[decimal]] [[numeral system]], and some of the simplest proofs that 0.999… = 1 rely on the convenient [[arithmetic]] properties of this system. Most of decimal arithmetic — [[addition]], [[subtraction]], [[multiplication]], [[division (mathematics)|division]], and [[inequality|comparison]] — uses manipulations at the digit level that are much the same as those for [[integer]]s. As with integers, any two ''finite'' decimals with different digits mean different numbers (ignoring trailing zeros). In particular, any number of the form 0.99…9, where the 9s eventually stop, is strictly less than 1.<br /> <br /> The meaning of &quot;…&quot; ([[ellipsis]]) in 0.999… must be precisely specified. The use here is different from the usage in language or in 0.99…9, in which the ellipsis specifies that some ''finite'' portion is left unstated or otherwise omitted. When used to specify a [[recurring decimal]], &quot;…&quot; means that some ''infinite'' portion is left unstated. In particular, 0.999… indicates the [[limit (mathematics)|limit]] of the [[sequence]] (0.9,0.99,0.999,0.9999,…) (or, equivalently, the sum of all terms of the form 9&amp;nbsp;&amp;times;&amp;nbsp;0.1&lt;sup&gt;''k''&lt;/sup&gt; for integers k=1 to infinity). Misinterpreting the meaning of 0.999… accounts for some of the misunderstanding about its equality to 1.<br /> <br /> There are many proofs that 0.999…=1. Before demonstrating this using algebraic methods, consider that two [[real number]]s are identical if and only if their (absolute) difference is not equal to a positive (third) real number. Given any positive value, the difference between 1 and 0.999… is less than this value (which can be formally demonstrated using a [[Interval (mathematics)|closed interval]] defined by the above sequence and the [[triangle inequality]]). Thus the difference is 0 and the numbers are identical. This also explains why 0.333… = &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt;, etc.<br /> <br /> Unlike the case with integers and finite decimals, other notations can express a single number in multiple ways. For example, using [[Fraction (mathematics)|fraction]]s, &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; = &lt;sup&gt;2&lt;/sup&gt;⁄&lt;sub&gt;6&lt;/sub&gt;. Infinite decimals, however, can express the same number in at most two different ways. If there are two ways, then one of them must end with an infinite series of nines, and the other must terminate (that is, consist of a recurring series of zeros from a certain point on).<br /> <br /> == Skepticism ==<br /> {{POV}}<br /> Some people, particularly students of mathematics, often reject the equality of 0.999… and 1, for reasons ranging from their disparate appearance to deep misgivings over the [[Limit of a sequence|limit]] concept and disagreements over the nature of [[infinitesimal]]s. There are many common contributing factors to the confusion:<br /> *Students are often &quot;mentally committed to the notion that a number can be represented in one and only one way by a decimal.&quot; Seeing two manifestly different decimals representing the same number appears to be a [[paradox]], which is amplified by the appearance of the seemingly well-understood number 1.&lt;ref&gt;Bunch p.119; Tall and Schwarzenberger p.6. The last suggestion is due to Burrell (p.28): &quot;Perhaps the most reassuring of all numbers is 1. …So it is particularly unsettling when someone tries to pass off 0.9~ as 1.&quot;&lt;/ref&gt;<br /> *Some students interpret &quot;0.999…&quot; (or similar notation) as a large but finite string of 9s, possibly with a variable, unspecified length. If they accept an infinite string of nines, they may still expect a last 9 &quot;at infinity&quot;.&lt;ref&gt;Tall and Schwarzenberger pp.6–7; Tall 2000 p.221&lt;/ref&gt;<br /> *Intuition and ambiguous teaching lead students to think of the limit of a sequence as a kind of infinite process rather than a fixed value, since a sequence need not reach its limit. Where students accept the difference between a sequence of numbers and its limit, they might read &quot;0.999…&quot; as meaning the sequence rather than its limit.&lt;ref&gt;Tall and Schwarzenberger p.6; Tall 2000 p.221&lt;/ref&gt;<br /> *Some students regard 0.999… as having a fixed value which is less than 1 but by an infinitely small amount.<br /> *Some students believe that the value of a [[convergent series]] is an approximation, not the actual value.<br /> These ideas are mistaken in the context of the standard real numbers, although many of them are partially borne out in more sophisticated structures, either invented for their general mathematical utility or as instructive [[counterexample]]s to better understand 0.999….<br /> <br /> Many of these explanations were found by professor David Tall, who has studied characteristics of teaching and cognition that lead to some of the misunderstandings he has encountered in his college students. Interviewing his students to determine why the vast majority initially rejected the equality, he found that &quot;students continued to conceive of 0.999… as a sequence of numbers getting closer and closer to 1 and not a fixed value, because 'you haven’t specified how many places there are' or 'it is the nearest possible decimal below 1'&quot;.&lt;ref&gt;Tall 2000 p.221&lt;/ref&gt;<br /> <br /> Of the elementary proofs, multiplying 0.333… = &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; by 3 is apparently a successful strategy for convincing reluctant students that 0.999… = 1. Still, when confronted with the conflict between their belief of the first equation and their disbelief of the second, some students either begin to disbelieve the first equation or simply become frustrated.&lt;ref&gt;Tall 1976 pp.10–14&lt;/ref&gt; Nor are more sophisticated methods foolproof: students who are fully capable of applying rigorous definitions may still fall back on intuitive images when they are surprised by a result in advanced mathematics, including 0.999…. For example, one real analysis student was able to prove that 0.333… = &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; using a [[supremum]] definition, but then insisted that 0.999… &lt; 1 based on her earlier understanding of long division.&lt;ref&gt;Pinto and Tall p.5, Edwards and Ward pp.416–417&lt;/ref&gt; Others still are able to prove that &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; = 0.333…, but, upon being confronted by the [[#Fraction proof|fractional proof]], insist that &quot;logic&quot; supersedes the mathematical calculations.<br /> <br /> [[Joseph Mazur]] tells the tale of an otherwise brilliant calculus student of his who &quot;challenged almost everything I said in class but never questioned his calculator,&quot; and who had come to believe that nine digits are all one needs to do mathematics, including calculating the square root of 23. The student remained uncomfortable with a limiting argument that 9.99… = 10, calling it a &quot;wildly imagined infinite growing process.&quot;&lt;ref&gt;Mazur pp.137–141&lt;/ref&gt;<br /> <br /> As part of Ed Dubinsky's &quot;[[APOS theory]]&quot; of mathematical learning, Dubinsky and his collaborators (2005) propose that students who conceive of 0.999… as a finite, indeterminate string with an infinitely small distance from 1 have &quot;not yet constructed a complete process conception of the infinite decimal&quot;. Other students who have a complete process conception of 0.999… may not yet be able to &quot;encapsulate&quot; that process into an &quot;object conception&quot;, like the object conception they have of 1, and so they view the process 0.999… and the object 1 as incompatible. Dubinsky ''et al.'' also link this mental ability of encapsulation to viewing ⅓ as a number in its own right and to dealing with the set of natural numbers as a whole.&lt;ref&gt;Dubinsky ''et al.'' 261–262&lt;/ref&gt;<br /> <br /> ==Proofs==<br /> <br /> ===Algebra===<br /> ==== Fractions ====<br /> <br /> One reason that infinite decimals are a necessary extension of finite decimals is to represent fractions. Using [[long division]], a simple division of integers like &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; becomes a recurring decimal, 0.333…, in which the digits repeat without end. This decimal yields a quick proof for 0.999… = 1. Multiplication of 3 times 3 produces 9 in each digit, so 3 × 0.333… equals 0.999…. And 3 × &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; equals 1, so &lt;math&gt;0.999\dots = 1&lt;/math&gt;.&lt;ref name=&quot;CME&quot;&gt;cf. with the binary version of the same argument in [[Silvanus P. Thompson]], ''Calculus made easy'', St. Martin's Press, New York, 1998. ISBN 0-312-18548-0.&lt;/ref&gt;<br /> <br /> Another form of this proof multiplies &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;9&lt;/sub&gt; = 0.111… by 9.<br /> <br /> {| style=&quot;wikitable&quot;<br /> |<br /> <br /> &lt;math&gt;<br /> \begin{align}<br /> 0.333\dots &amp;= \frac{1}{3} \\<br /> 3 \times 0.333\dots &amp;= 3 \times \frac{1}{3} = \frac{3 \times 1}{3} \\ <br /> 0.999\dots &amp;= 1<br /> \end{align}<br /> &lt;/math&gt;<br /> <br /> |width=&quot;50px&quot;|<br /> <br /> ||<br /> <br /> &lt;math&gt;<br /> \begin{align}<br /> 0.111\dots &amp;= \frac{1}{9} \\<br /> 9 \times 0.111\dots &amp;= 9 \times \frac{1}{9} = \frac{9 \times 1}{9} \\ <br /> 0.999\dots &amp;= 1<br /> \end{align}<br /> &lt;/math&gt;<br /> <br /> |}<br /> <br /> An even easier explanation is that &lt;sup&gt;9&lt;/sup&gt;/&lt;sub&gt;9&lt;/sup&gt; = 1, and &lt;sup&gt;9&lt;/sup&gt;/&lt;sub&gt;9&lt;/sup&gt; = 0.999... So, according to the [[transitive property]], 0.999... must equal 1.<br /> <br /> ==== Digit manipulation ====<br /> <br /> Another kind of proof more easily adapts to other repeating decimals. When a number in decimal notation is multiplied by 10, the digits do not change but the decimal separator moves one place to the right. Thus 10 × 0.999… equals 9.999…, which is 9 more than the original number. <br /> <br /> To see this, consider that subtracting 0.999… from 9.999… can proceed digit by digit; in each of the digits after the decimal separator the result is 9 − 9, which is 0. But trailing zeros do not change a number, so the difference is exactly 9. The final step uses algebra. Let the decimal number in question, 0.999…, be called ''c''. Then 10''c'' &amp;minus; ''c'' = 9. This is the same as 9''c'' = 9. Dividing both sides by 9 completes the proof: ''c'' = 1.&lt;ref name=&quot;CME&quot;/&gt; Written as a sequence of equations, <br /> <br /> &lt;math&gt;<br /> \begin{align}<br /> c &amp;= 0.999\ldots \\<br /> 10 c &amp;= 9.999\ldots \\<br /> 10 c - c &amp;= 9.999\ldots - 0.999\ldots \\<br /> 9 c &amp;= 9 \\<br /> c &amp;= 1 \\<br /> 0.999\ldots &amp;= 1<br /> \end{align}<br /> &lt;/math&gt;<br /> <br /> The validity of the digit manipulations in the above two proofs does not have to be taken on faith or as an axiom; it can be proven by investigating the fundamental relationship between decimals and the numbers they represent. For finite decimals, this process relies only on the arithmetic of real numbers. To prove that the manipulations also work for infinite decimals, one needs the methods of [[real analysis]].<br /> <br /> === Real analysis ===<br /> Since the question of 0.999… does not affect the formal development of mathematics, it can be postponed until one proves the standard theorems of [[real analysis]]. One requirement is to characterize real numbers that can be written in decimal notation, consisting of an optional sign, a finite sequence of any number of digits forming an integer part, a decimal separator, and a sequence of digits forming a fractional part. For the purpose of discussing 0.999…, the integer part can be summarized as ''b''&lt;sub&gt;0&lt;/sub&gt; and one can neglect negatives, so a decimal expansion has the form<br /> :&lt;math&gt;b_0.b_1b_2b_3b_4b_5\dots&lt;/math&gt;<br /> <br /> It is vital that the fraction part, unlike the integer part, is not limited to a finite number of digits. This is a [[positional notation]], so for example the 5 in 500 contributes ten times as much as the 5 in 50, and the 5 in 0.05 contributes one tenth as much as the 5 in 0.5.<br /> <br /> ====Infinite series and sequences====<br /> {{further|[[Decimal representation]]}}<br /> <br /> Perhaps the most common development of decimal expansions is to define them as sums of [[infinite series]]. In general:<br /> :&lt;math&gt;b_0 . b_1 b_2 b_3 b_4 \ldots = b_0 + b_1({\tfrac{1}{10}}) + b_2({\tfrac{1}{10}})^2 + b_3({\tfrac{1}{10}})^3 + b_4({\tfrac{1}{10}})^4 + \cdots .&lt;/math&gt;<br /> <br /> For 0.999… one can apply the powerful [[convergent series|convergence]] theorem concerning [[infinite geometric series]]:&lt;ref&gt;Rudin p.61, Theorem 3.26; J. Stewart p.706&lt;/ref&gt;<br /> :If &lt;math&gt;|r| &lt; 1&lt;/math&gt; then &lt;math&gt;ar+ar^2+ar^3+\cdots = \frac{ar}{1-r}.&lt;/math&gt;<br /> <br /> Since 0.999… is such a sum with a common ratio &lt;math&gt;r=\textstyle\frac{1}{10}&lt;/math&gt;, the theorem makes short work of the question:<br /> :&lt;math&gt;0.999\ldots = 9(\tfrac{1}{10}) + 9({\tfrac{1}{10}})^2 + 9({\tfrac{1}{10}})^3 + \cdots = \frac{9({\tfrac{1}{10}})}{1-{\tfrac{1}{10}}} = 1.\,&lt;/math&gt;<br /> This proof (actually, that 10 equals 9.999…) appears as early as 1770 in [[Leonhard Euler]]'s ''[[Elements of Algebra]]''.&lt;ref&gt;Euler p.170&lt;/ref&gt; <br /> <br /> [[Image:base4 333.svg|left|thumb|200px|Limits: The unit interval, including the '''base-4''' decimal sequence (.3, .33, .333, …) converging to 1.]]<br /> The sum of a geometric series is itself a result even older than Euler. A typical 18th-century derivation used a term-by-term manipulation similar to the [[#Algebraic proof|algebra proof]] given above, and as late as 1811, Bonnycastle's textbook ''An Introduction to Algebra'' uses such an argument for geometric series to justify the same maneuver on 0.999….&lt;ref&gt;Grattan-Guinness p.69; Bonnycastle p.177&lt;/ref&gt; A 19th-century reaction against such liberal summation methods resulted in the definition that still dominates today: the sum of a series is ''defined'' to be the limit of the sequence of its partial sums. A corresponding proof of the theorem explicitly computes that sequence; it can be found in any proof-based introduction to calculus or analysis.&lt;ref&gt;For example, J. Stewart p.706, Rudin p.61, Protter and Morrey p.213, Pugh p.180, J.B. Conway p.31&lt;/ref&gt;<br /> <br /> A sequence (''x''&lt;sub&gt;0&lt;/sub&gt;, ''x''&lt;sub&gt;1&lt;/sub&gt;, ''x''&lt;sub&gt;2&lt;/sub&gt;, …) has a [[limit of a sequence|limit]] ''x'' if the distance |''x''&amp;nbsp;&amp;minus;&amp;nbsp;''x''&lt;sub&gt;''n''&lt;/sub&gt;| becomes arbitrarily small as ''n'' increases. The statement that 0.999…&amp;nbsp;=&amp;nbsp;1 can itself be interpreted and proven as a limit:<br /> :&lt;math&gt;0.999\ldots = \lim_{n\to\infty}0.\underbrace{ 99\ldots9 }_{n} = \lim_{n\to\infty}\sum_{k = 1}^n\frac{9}{10^k} = \lim_{n\to\infty}\left(1-\frac{1}{10^n}\right) = 1-\lim_{n\to\infty}\frac{1}{10^n} = 1.\,&lt;/math&gt;&lt;ref&gt;The limit follows, for example, from Rudin p. 57, Theorem 3.20e. For a more direct approach, see also Finney, Weir, Giordano (2001) ''Thomas' Calculus: Early Transcendentals'' 10ed, Addison-Wesley, New York. Section 8.1, example 2(a), example 6(b).&lt;/ref&gt;<br /> <br /> The last step &amp;mdash; that lim &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;10&lt;sup&gt;''n''&lt;/sup&gt;&lt;/sub&gt; = 0 &amp;mdash; is often justified by the axiom that the real numbers have the [[Archimedean property]]. This limit-based attitude towards 0.999… is often put in more evocative but less precise terms. For example, the 1846 textbook ''The University Arithmetic'' explains, &quot;.999 +, continued to infinity = 1, because every annexation of a 9 brings the value closer to 1&quot;; the 1895 ''Arithmetic for Schools'' says, &quot;…when a large number of 9s is taken, the difference between 1 and .99999… becomes inconceivably small&quot;.&lt;ref&gt;Davies p.175; Smith and Harrington p.115&lt;/ref&gt; Such [[heuristic]]s are often interpreted by students as implying that 0.999… itself is less than 1.<br /> <br /> ====Nested intervals and least upper bounds====<br /> {{further|[[Nested intervals]]}}<br /> <br /> [[Image:999 Intervals C.svg|right|thumb|250px|Nested intervals: in base 3, 1 = 1.000… = 0.222…]]<br /> The series definition above is a simple way to define the real number named by a decimal expansion. A complementary approach is tailored to the opposite process: for a given real number, define the decimal expansion(s) that are to name it.<br /> <br /> If a real number ''x'' is known to lie in the [[closed interval]] [0, 10] (i.e., it is greater than or equal to 0 and less than or equal to 10), one can imagine dividing that interval into ten pieces that overlap only at their endpoints: [0, 1], [1, 2], [2, 3], and so on up to [9, 10]. The number ''x'' must belong to one of these; if it belongs to [2, 3] then one records the digit &quot;2&quot; and subdivides that interval into [2, 2.1], [2.1, 2.2], …, [2.8, 2.9], [2.9, 3]. Continuing this process yields an infinite sequence of [[nested intervals]], labeled by an infinite sequence of digits ''b''&lt;sub&gt;0&lt;/sub&gt;, ''b''&lt;sub&gt;1&lt;/sub&gt;, ''b''&lt;sub&gt;2&lt;/sub&gt;, ''b''&lt;sub&gt;3&lt;/sub&gt;, …, and one writes<br /> :''x'' = ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;…<br /> <br /> In this formalism, the fact that 1 = 1.000… and also 1 = 0.999… reflects the fact that 1 lies in both [0, 1] and [1, 2], so one can choose either subinterval when finding its digits. To ensure that this notation does not abuse the &quot;=&quot; sign, one needs a way to reconstruct a unique real number for each decimal. This can be done with limits, but other constructions continue with the ordering theme.&lt;ref&gt;Beals p.22; I. Stewart p.34&lt;/ref&gt;<br /> <br /> One straightforward choice is the [[nested intervals theorem]], which guarantees that given a sequence of nested, closed intervals whose lengths become arbitrarily small, the intervals contain exactly one real number in their [[intersection (set theory)|intersection]]. So ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… is defined to be the unique number contained within all the intervals [''b''&lt;sub&gt;0&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt; + 1], [''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt; + 0.1], and so on. 0.999… is then the unique real number that lies in all of the intervals [0, 1], [0.9, 1], [0.99, 1], and [0.99…9, 1] for every finite string of 9s. Since 1 is an element of each of these intervals, 0.999… = 1.&lt;ref&gt;Bartle and Sherbert pp.60–62; Pedrick p.29; Sohrab p.46&lt;/ref&gt;<br /> <br /> The Nested Intervals Theorem is usually founded upon a more fundamental characteristic of the real numbers: the existence of [[least upper bound]]s or ''suprema''. To directly exploit these objects, one may define ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… to be the least upper bound of the set of approximants {''b''&lt;sub&gt;0&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;, …}.&lt;ref&gt;Apostol pp.9, 11–12; Beals p.22; Rosenlicht p.27&lt;/ref&gt; One can then show that this definition (or the nested intervals definition) is consistent with the subdivision procedure, implying 0.999… = 1 again. Tom Apostol concludes,<br /> &lt;blockquote&gt;<br /> The fact that a real number might have two different decimal representations is merely a reflection of the fact that two different sets of real numbers can have the same supremum.&lt;ref&gt;Apostol p.12&lt;/ref&gt;<br /> &lt;/blockquote&gt;<br /> <br /> === Real numbers ===<br /> {{main|Construction of real numbers}}<br /> <br /> Other approaches explicitly define real numbers to be certain [[construction of real numbers|structures built upon the rational numbers]], using [[axiomatic set theory]]. The [[natural number]]s — 0, 1, 2, 3, and so on — begin with 0 and continue upwards, so that every number has a successor. One can extend the natural numbers with their negatives to give all the [[integer]]s, and to further extend to ratios, giving the [[rational number]]s. These number systems are accompanied by the arithmetic of addition, subtraction, multiplication, and division. More subtly, they include [[order theory|ordering]], so that one number can be compared to another and found less than, greater than, or equal.<br /> <br /> The step from rationals to reals is a major extension. There are at least two popular ways to achieve this step, both published in 1872: Dedekind cuts and Cauchy sequences. Proofs that 0.999… = 1 which directly use these constructions are not found in textbooks on real analysis, where the modern trend for the last few decades has been to use an axiomatic analysis. Even when a construction is offered, it is usually applied towards proving the axioms of the real numbers, which then support the above proofs. However, several authors express the idea that starting with a construction is more logically appropriate, and the resulting proofs are more self-contained.&lt;ref&gt;The historical synthesis is claimed by Griffiths and Hilton (p.xiv) in 1970 and again by Pugh (p.10) in 2001; both actually prefer Dedekind cuts to axioms. For the use of cuts in textbooks, see Pugh p.17 or Rudin p.17. For viewpoints on logic, Pugh p.10, Rudin p.ix, or Munkres p.30&lt;/ref&gt;<br /> <br /> ==== Dedekind cuts ====<br /> {{further|[[Dedekind cut]]}}<br /> <br /> In the [[Dedekind cut]] approach, each real number ''x'' is the infinite set of all rational numbers that are less than ''x''.&lt;ref&gt;Enderton (p.113) qualifies this description: &quot;The idea behind Dedekind cuts is that a real number ''x'' can be named by giving an infinite set of rationals, namely all the rationals less than ''x''. We will in effect define ''x'' to be the set of rationals smaller than ''x''. To avoid circularity in the definition, we must be able to characterize the sets of rationals obtainable in this way…&quot;&lt;/ref&gt; In particular, the real number 1 is the set of all rational numbers that are less than 1.&lt;ref&gt;Rudin pp.17–20, Richman p.399, or Enderton p.119. To be precise, Rudin, Richman, and Enderton call this cut 1*, 1&lt;sup&gt;&amp;minus;&lt;/sup&gt;, and 1&lt;sub&gt;''R''&lt;/sub&gt;, respectively; all three identify it with the traditional real number 1. Note that what Rudin and Enderton call a Dedekind cut, Richman calls a &quot;nonprincipal Dedekind cut&quot;.&lt;/ref&gt; Every positive decimal expansion easily determines a Dedekind cut: the set of rational numbers which are less than some stage of the expansion. So the real number 0.999… is the set of rational numbers ''r'' such that ''r'' &lt; 0, or ''r'' &lt; 0.9, or ''r'' &lt; 0.99, or ''r'' is less than some other number of the form &lt;math&gt;\begin{align}1-(\tfrac{1}{10})^n\end{align}&lt;/math&gt;.&lt;ref&gt;Richman p.399&lt;/ref&gt; Every element of 0.999… is less than 1, so it is an element of the real number 1. Conversely, an element of 1 is a rational number <br /> &lt;math&gt;\begin{align}\tfrac{a}{b}&lt;1\end{align}&lt;/math&gt;, which implies &lt;math&gt;\begin{align}\tfrac{a}{b}&lt;1-(\tfrac{1}{10})^b\end{align}&lt;/math&gt;. Since 0.999… and 1 contain the same rational numbers, they are the same set: 0.999… = 1.<br /> <br /> The definition of real numbers as Dedekind cuts was first published by [[Richard Dedekind]] in 1872.&lt;ref name=&quot;MacTutor2&quot;&gt;{{cite web |url=http://www-gap.dcs.st-and.ac.uk/~history/PrintHT/Real_numbers_2.html |title=History topic: The real numbers: Stevin to Hilbert |author=J J O'Connor and E F Robertson |work=MacTutor History of Mathematics |date=October 2005 |accessdate=2006-08-30}}&lt;/ref&gt;<br /> The above approach to assigning a real number to each decimal expansion is due to an expository paper titled &quot;Is 0.999 … = 1?&quot; by Fred Richman in ''[[Mathematics Magazine]]'', which is targeted at teachers of collegiate mathematics, especially at the junior/senior level, and their students.&lt;ref&gt;{{cite web |url=http://www.maa.org/pubs/mm-guide.html |title=Mathematics Magazine:Guidelines for Authors |publisher=[[The Mathematical Association of America]] |accessdate=2006-08-23}}&lt;/ref&gt; Richman notes that taking Dedekind cuts in any [[dense subset]] of the rational numbers yields the same results; in particular, he uses [[decimal fraction]]s, for which the proof is more immediate: &quot;So we see that in the traditional definition of the real numbers, the equation 0.9* = 1 is built in at the beginning.&quot;&lt;ref&gt;Richman pp.398–399&lt;/ref&gt; A further modification of the procedure leads to a different structure that Richman is more interested in describing; see &quot;[[#Different_answers_from_alternative_number_systems|Different answers from alternative number systems]]&quot; below.<br /> <br /> ==== Cauchy sequences ====<br /> {{further|[[Cauchy sequence]]}}<br /> <br /> Another approach to constructing the real numbers uses the ordering of rationals less directly. First, the distance between ''x'' and ''y'' is defined as the absolute value |''x''&amp;nbsp;&amp;minus;&amp;nbsp;''y''|, where the absolute value |''z''| is defined as the maximum of ''z'' and &amp;minus;''z'', thus never negative. Then the reals are defined to be the sequences of rationals that are [[Cauchy sequence|Cauchy]] using this distance. That is, in the sequence (''x''&lt;sub&gt;0&lt;/sub&gt;, ''x''&lt;sub&gt;1&lt;/sub&gt;, ''x''&lt;sub&gt;2&lt;/sub&gt;, …), a mapping from natural numbers to rationals, for any positive rational δ there is an ''N'' such that |''x''&lt;sub&gt;''m''&lt;/sub&gt;&amp;nbsp;&amp;minus;&amp;nbsp;''x''&lt;sub&gt;''n''&lt;/sub&gt;|&amp;nbsp;≤&amp;nbsp;δ for all ''m'', ''n''&amp;nbsp;&gt;&amp;nbsp;''N''. (The distance between terms becomes arbitrarily small.)&lt;ref&gt;Griffiths &amp; Hilton §24.2 &quot;Sequences&quot; p.386&lt;/ref&gt;<br /> <br /> If (''x''&lt;sub&gt;''n''&lt;/sub&gt;) and (''y''&lt;sub&gt;''n''&lt;/sub&gt;) are two Cauchy sequences, then they are defined to be equal as real numbers if the sequence (''x''&lt;sub&gt;''n''&lt;/sub&gt;&amp;nbsp;&amp;minus;&amp;nbsp;''y''&lt;sub&gt;''n''&lt;/sub&gt;) has the limit 0. Truncations of the decimal number ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… generate a sequence of rationals which is Cauchy; this is taken to define the real value of the number.&lt;ref&gt;Griffiths &amp; Hilton pp.388, 393&lt;/ref&gt; Thus in this formalism the task is to show that the sequence of rational numbers<br /> :&lt;math&gt;\left(1 - 0, 1 - {9 \over 10}, 1 - {99 \over 100}, \dots\right)<br /> = \left(1, {1 \over 10}, {1 \over 100}, \dots \right)&lt;/math&gt;<br /> <br /> has the limit 0. Considering the ''n''th term of the sequence, for ''n''=0,1,2,…, it must therefore be shown that<br /> :&lt;math&gt;\lim_{n\rightarrow\infty}\frac{1}{10^n} = 0.&lt;/math&gt;<br /> <br /> This limit is plain;&lt;ref&gt;Griffiths &amp; Hilton pp.395&lt;/ref&gt; one possible proof is that for ε = ''a''/''b'' &gt; 0 one can take ''N''&amp;nbsp;=&amp;nbsp;''b'' in the definition of the [[limit of a sequence]]. So again 0.999…&amp;nbsp;=&amp;nbsp;1.<br /> <br /> The definition of real numbers as Cauchy sequences was first published separately by [[Eduard Heine]] and [[Georg Cantor]], also in 1872.&lt;ref name=&quot;MacTutor2&quot; /&gt; The above approach to decimal expansions, including the proof that 0.999… = 1, closely follows Griffiths &amp; Hilton's 1970 work ''A comprehensive textbook of classical mathematics: A contemporary interpretation''. The book is written specifically to offer a second look at familiar concepts in a contemporary light.&lt;ref&gt;Griffiths &amp; Hilton pp.viii, 395&lt;/ref&gt;<br /> <br /> ===Generalizations===<br /> Proofs that 0.999… = 1 immediately generalize in two ways. First, every nonzero number with a finite decimal notation (equivalently, endless trailing 0s) has a counterpart with trailing 9s. For example, 0.24999… equals 0.25, exactly as in the special case considered. These numbers are exactly the decimal fractions, and they are dense.&lt;ref&gt;Petkovšek p.408&lt;/ref&gt;<br /> <br /> Second, a comparable theorem applies in each radix or [[base (mathematics)|base]]. For example, in base 2 (the [[binary numeral system]]) 0.111… equals 1, and in base 3 (the [[ternary numeral system]]) 0.222… equals 1. Textbooks of real analysis are likely to skip the example of 0.999… and present one or both of these generalizations from the start.&lt;ref&gt;Protter and Morrey p.503; Bartle and Sherbert p.61&lt;/ref&gt;<br /> <br /> Alternative representations of 1 also occur in non-integer bases. For example, in the [[golden ratio base]], the two standard representations are 1.000… and 0.101010…, and there are infinitely many more representations that include adjacent 1s. Generally, for [[almost all]] ''q'' between 1 and 2, there are uncountably many base-''q'' expansions of 1. On the other hand, there are still uncountably many ''q'' (including all natural numbers greater than 1) for which there is only one base-''q'' expansion of 1, other than the trivial 1.000…. This result was first obtained by [[Paul Erdős]], Miklos Horváth, and István Joó around 1990. In 1998 Vilmos Komornik and Paola Loreti determined the smallest such base, ''q'' = 1.787231650…. In this base, 1 = 0.11010011001011010010110011010011…; the digits are given by the [[Thue-Morse sequence]], which does not repeat.&lt;ref&gt;Komornik and Loreti p.636&lt;/ref&gt;<br /> <br /> A more far-reaching generalization addresses [[non-standard positional numeral systems|the most general positional numeral systems]]. They too have multiple representations, and in some sense the difficulties are even worse. For example:&lt;ref&gt;Kempner p.611; Petkovšek p.409&lt;/ref&gt;<br /> *In the [[balanced ternary]] system, &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;2&lt;/sub&gt; = 0.111… = 1.&lt;u&gt;111&lt;/u&gt;….<br /> *In the [[factoradic]] system, 1 = 1.000… = 0.1234….<br /> Marko Petkovšek has proved that such ambiguities are necessary consequences of using a positional system: for any system that names all the real numbers, the set of reals with multiple representations is always dense. He calls the proof &quot;an instructive exercise in elementary [[point-set topology]]&quot;; it involves viewing sets of positional values as [[Stone space]]s and noticing that their real representations are given by [[continuous function (topology)|continuous functions]].&lt;ref&gt;Petkovšek pp.410–411&lt;/ref&gt;<br /> <br /> ==Applications==<br /> One application of 0.999… as a representation of 1 occurs in [[elementary number theory]]. In 1802, H. Goodwin published an observation on the appearance of 9s in the repeating-decimal representations of fractions whose denominators are certain [[prime number]]s. Examples include:<br /> *&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;7&lt;/sub&gt; = 0.142857142857… and 142 + 857 = 999.<br /> *&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;73&lt;/sub&gt; = 0.0136986301369863… and 0136 + 9863 = 9999.<br /> E. Midy proved a general result about such fractions, now called ''[[Midy's Theorem]]'', in 1836. The publication was obscure, and it is unclear if his proof directly involved 0.999…, but at least one modern proof by W. G. Leavitt does. If one can prove that a decimal of the form 0.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… is a positive integer, then it must be 0.999…, which is then the source of the 9s in the theorem.&lt;ref&gt;Leavitt 1984 p.301&lt;/ref&gt; Investigations in this direction can motivate such concepts as [[greatest common divisor]]s, [[modular arithmetic]], [[Fermat prime]]s, [[order (group theory)|order]] of [[group (mathematics)|group]] elements, and [[quadratic reciprocity]].&lt;ref&gt;Lewittes pp.1–3; Leavitt 1967 pp.669,673; Shrader-Frechette pp.96–98&lt;/ref&gt;<br /> <br /> [[Image:Cantor base 3.svg|right|thumb|Positions of &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;4&lt;/sub&gt;, &lt;sup&gt;2&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt;, and 1 in the Cantor set]]<br /> Returning to real analysis, the base-3 analogue 0.222… = 1 plays a key role in a characterization of one of the simplest [[fractal]]s, the middle-thirds [[Cantor set]]:<br /> *A point in the [[unit interval]] lies in the Cantor set if and only if it can be represented in ternary using only the digits 0 and 2.<br /> <br /> The ''n''th digit of the representation reflects the position of the point in the ''n''th stage of the construction. For example, the point &lt;sup&gt;2&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; is given the usual representation of 0.2 or 0.2000…, since it lies to the right of the first deletion and to the left of every deletion thereafter. The point &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; is represented not as 0.1 but as 0.0222…, since it lies to the left of the first deletion and to the right of every deletion thereafter.&lt;ref&gt;Pugh p.97; Alligood, Sauer, and Yorke pp.150–152. Protter and Morrey (p.507) and Pedrick (p.29) assign this description as an exercise.&lt;/ref&gt;<br /> <br /> Repeating nines also turn up in yet another of Georg Cantor's works. They must be taken into account to construct a valid proof, applying [[Cantor's diagonal argument|his 1891 diagonal argument]] to decimal expansions, of the [[uncountability]] of the unit interval. Such a proof needs to be able to declare certain pairs of real numbers to be different based on their decimal expansions, so one needs to avoid pairs like 0.2 and 0.1999… . A simple method represents all numbers with nonterminating expansions; the opposite method rules out repeating nines.&lt;ref&gt;Maor (p.60) and Mankiewicz (p.151) review the former method; Mankiewicz attributes it to Cantor, but the primary source is unclear. Munkres (p.50) mentions the latter method.&lt;/ref&gt; A variant that may be closer to Cantor's original argument actually uses base 2, and by turning base-3 expansions into base-2 expansions, one can prove the uncountability of the Cantor set as well.&lt;ref&gt;Rudin p.50, Pugh p.98&lt;/ref&gt;<br /> <br /> == In popular culture ==<br /> <br /> With the rise of the [[Internet]], debates about 0.999… have escaped the classroom and are commonplace on [[newsgroup]]s and [[message board]]s, including many that nominally have little to do with mathematics. In the newsgroup &lt;tt&gt;[news:sci.math sci.math]&lt;/tt&gt;, arguing over 0.999… is a &quot;popular sport&quot;, and it is one of the questions answered in its [[FAQ]].&lt;ref&gt;As observed by Richman (p.396). {{cite web |url=http://www.faqs.org/faqs/sci-math-faq/specialnumbers/0.999eq1/ |author=Hans de Vreught | year=1994 | title=sci.math FAQ: Why is 0.9999… = 1? |accessdate=2006-06-29}}&lt;/ref&gt; The FAQ briefly covers ⅓, multiplication by 10, and limits, and it alludes to Cauchy sequences as well.<br /> <br /> A 2003 edition of the general-interest [[newspaper column]] ''[[The Straight Dope]]'' discusses 0.999… via ⅓ and limits, saying of misconceptions,<br /> &lt;blockquote&gt;<br /> &lt;P&gt;The lower primate in us still resists, saying: .999~ doesn't really represent a ''number'', then, but a ''process''. To find a number we have to halt the process, at which point the .999~ = 1 thing falls apart.&lt;/p&gt;<br /> <br /> &lt;p&gt;Nonsense.&lt;ref&gt;{{cite web |url=http://www.straightdope.com/columns/030711.html |title=An infinite question: Why doesn't .999~ = 1? |date=2003-07-11 |author=[[Cecil Adams]] |work=[[The Straight Dope]] |publisher=[[The Chicago Reader]] |accessdate=2006-09-06}}&lt;/ref&gt;&lt;/p&gt;<br /> &lt;/blockquote&gt;<br /> <br /> ''The Straight Dope'' cites a discussion on its own message board that grew out of an unidentified &quot;other message board … mostly about video games&quot;. In the same vein, the question of 0.999… proved such a popular topic in the first seven years of [[Blizzard Entertainment]]'s [[Battle.net]] forums that the company's president, [[Mike Morhaime]], announced at a [[press conference]] on [[April 1]] [[2004]] that it is 1:<br /> &lt;blockquote&gt;<br /> We are very excited to close the book on this subject once and for all. We've witnessed the heartache and concern over whether .999~ does or does not equal 1, and we're proud that the following proof finally and conclusively addresses the issue for our customers.&lt;ref&gt;{{cite web |url=http://www.blizzard.com/press/040401.shtml |title=Blizzard Entertainment® Announces .999~ (Repeating) = 1 |work=Press Release |publisher=Blizzard Entertainment |date=2004-04-01 |accessdate=2006-09-03}}&lt;/ref&gt;<br /> &lt;/blockquote&gt;<br /> Blizzard's subsequent press release offers two proofs, based on limits and multiplication by 10.<br /> <br /> == Different answers from alternative number systems == <br /> Although the real numbers form an extremely useful number system, the decision to interpret the phrase &quot;0.999…&quot; as naming a real number is ultimately a convention, and Timothy Gowers argues in ''Mathematics: A Very Short Introduction'' that the resulting identity 0.999… = 1 is a convention as well:<br /> &lt;blockquote&gt;<br /> However, it is by no means an arbitrary convention, because not adopting it forces one either to invent strange new objects or to abandon some of the familiar rules of arithmetic.&lt;ref&gt;Gowers p.60&lt;/ref&gt;<br /> &lt;/blockquote&gt;<br /> One can define other number systems using different rules or new objects; in some such number systems, the above proofs would need to be reinterpreted and one might find that, in a given number system, 0.999… and 1 might not be identical. However, many number systems are extensions of &amp;mdash; rather than independent alternatives to &amp;mdash; the real number system, so 0.999… = 1 continues to hold. Even in such number systems, though, it is worthwhile to examine alternative number systems, not only for how 0.999… behaves (if, indeed, a number expressed as &quot;0.999…&quot; is both meaningful and unambiguous), but also for the behavior of related phenomena. If such phenomena differ from those in the real number system, then at least one of the assumptions built into the system must break down.<br /> <br /> ===Infinitesimals===<br /> {{main|Infinitesimal}}<br /> <br /> Some proofs that 0.999… = 1 rely on the [[Archimedean property]] of the standard real numbers: there are no nonzero [[infinitesimal]]s. There are mathematically coherent ordered [[algebraic structure]]s, including various alternatives to standard reals, which are non-Archimedean. The meaning of 0.999… depends on which structure we use. For example, the [[dual number]]s include a new infinitesimal element ε, analogous to the imaginary unit ''i'' in the [[complex number]]s except that ε&lt;sup&gt;2&lt;/sup&gt;&amp;nbsp;=&amp;nbsp;0. The resulting structure is useful in [[automatic differentiation]]. The dual numbers can be given a [[lexicographic order]], in which case the multiples of ε become non-Archimedean elements.&lt;ref&gt;Berz 439–442&lt;/ref&gt; Note, however, that, as an extension of the real numbers, the dual numbers still have 0.999…=1. On a related note, while ε exists in dual numbers, so does ε/2, so ε is not &quot;the smallest positive dual number,&quot; and, indeed, as in the reals, no such number exists.<br /> <br /> Another way to construct alternatives to standard reals is to use [[topos]] theory and alternative logics rather than [[set theory]] and classical logic (which is a special case). For example, [[smooth infinitesimal analysis]] has infinitesimals with no [[Multiplicative inverse|reciprocal]]s.&lt;ref&gt;{{cite paper|url=http://publish.uwo.ca/~jbell/invitation%20to%20SIA.pdf|title=An Invitation to Smooth Infinitesimal Analysis|author=John L. Bell |year=2003 |format=PDF |accessdate=2006-06-29}}&lt;/ref&gt;<br /> <br /> [[Non-standard analysis]] is well-known for including a number system with a full array of infinitesimals (and their inverses) which provide a different, and perhaps more intuitive, approach to [[calculus]].&lt;ref&gt;For a full treatment of non-standard numbers see for example Robinson's ''Non-standard Analysis''.&lt;/ref&gt; A.H. Lightstone provided a development of non-standard decimal expansions in 1972 in which every extended real number in (0, 1) has a unique extended decimal expansion: a sequence of digits 0.ddd…;…ddd… indexed by the extended natural numbers. In his formalism, there are two natural extensions of 0.333…, neither of which falls short of &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt; by an infinitesimal:<br /> :0.333…;…000… does not exist, while<br /> :0.333…;…333…&amp;nbsp;=&amp;nbsp;&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt; exactly.&lt;ref&gt;Lightstone pp.245–247. He does not explore the possibility repeating 9s in the standard part of an expansion.&lt;/ref&gt;<br /> <br /> [[Combinatorial game theory]] provides alternative reals as well, with infinite Blue-Red [[Hackenbush]] as one particularly relevant example. In 1974, [[Elwyn Berlekamp]] described a correspondence between Hackenbush strings and binary expansions of real numbers, motivated by the idea of [[data compression]]. For example, the value of the Hackenbush string LRRLRLRL… is 0.010101…&amp;nbsp;=&amp;nbsp;&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt;. However, the value of LRLLL… (corresponding to 0.111…) is infinitesimally less than 1. The difference between the two is the [[surreal number]] &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;ω&lt;/sub&gt;, where ω is the first [[ordinal number|infinite ordinal]]; the relevant game is LRRRR… or 0.000….&lt;ref&gt;Berlekamp, Conway, and Guy (pp.79–80, 307–311) discuss 1 and &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt; and touch on &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;ω&lt;/sub&gt;. The game for 0.111… follows directly from Berlekamp's Rule, and it is discussed by {{cite web |url=http://www.maths.nott.ac.uk/personal/anw/Research/Hack/ |title=Hackenstrings and the 0.999… ≟ 1 FAQ |author=A. N. Walker |year=1999 |accessdate=2006-06-29}}&lt;/ref&gt;<br /> <br /> ===Breaking subtraction===<br /> Another manner in which the proofs might be undermined is if 1&amp;nbsp;&amp;minus;&amp;nbsp;0.999… simply does not exist, because subtraction is not always possible. Mathematical structures with an addition operation but not a subtraction operation include [[commutative]] [[semigroup]]s, [[commutative monoid]]s and [[semiring]]s. Richman considers two such systems, designed so that 0.999… &lt; 1.<br /> <br /> First, Richman defines a nonnegative ''decimal number'' to be a literal decimal expansion. He defines the [[lexicographical order]] and an addition operation, noting that 0.999…&amp;nbsp;&amp;lt;&amp;nbsp;1 simply because 0&amp;nbsp;&amp;lt;&amp;nbsp;1 in the ones place, but for any nonterminating ''x'', one has 0.999…&amp;nbsp;+&amp;nbsp;''x''&amp;nbsp;=&amp;nbsp;1&amp;nbsp;+&amp;nbsp;''x''. So one peculiarity of the decimal numbers is that addition cannot always be cancelled; another is that no decimal number corresponds to &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt;. After defining multiplication, the decimal numbers form a positive, totally ordered, commutative semiring.&lt;ref&gt;Richman pp.397–399&lt;/ref&gt;<br /> <br /> In the process of defining multiplication, Richman also defines another system he calls &quot;cut ''D''&quot;, which is the set of Dedekind cuts of decimal fractions. Ordinarily this definition leads to the real numbers, but for a decimal fraction ''d'' he allows both the cut (&amp;minus;∞,&amp;nbsp;''d''&amp;nbsp;) and the &quot;principal cut&quot; (&amp;minus;∞,&amp;nbsp;''d''&amp;nbsp;]. The result is that the real numbers are &quot;living uneasily together with&quot; the decimal fractions. Again 0.999…&amp;nbsp;&lt;&amp;nbsp;1. There are no positive infinitesimals in cut ''D'', but there is &quot;a sort of negative infinitesimal,&quot; 0&lt;sup&gt;&amp;minus;&lt;/sup&gt;, which has no decimal expansion. He concludes that 0.999…&amp;nbsp;=&amp;nbsp;1&amp;nbsp;+&amp;nbsp;0&lt;sup&gt;&amp;minus;&lt;/sup&gt;, while the equation &quot;0.999… + ''x'' = 1&quot;<br /> has no solution.&lt;ref&gt;Richman pp.398–400. Rudin (p.23) assigns this alternative construction (but over the rationals) as the last exercise of Chapter 1.&lt;/ref&gt;<br /> <br /> ===''p''-adic numbers===<br /> {{main|p-adic number}}<br /> <br /> When asked about 0.999…, novices often believe there should be a &quot;final 9,&quot; believing 1&amp;nbsp;&amp;minus;&amp;nbsp;0.999… to be a positive number many term &quot;0.000…1&quot;. Whether or not that makes sense, the intuitive goal is clear: adding a 1 to the last 9 in 0.999… would carry all the 9s into 0s and leave a 1 in the ones place. Among other reasons, this idea fails because there is no &quot;last 9&quot; in 0.999….&lt;ref&gt;Gardiner p.98; Gowers p.60&lt;/ref&gt; For an infinite string of 9s including a last 9, one must look elsewhere.<br /> <br /> [[Image:4adic 333.svg|right|thumb|200px|The 4-adic integers (black points), including the sequence (3, 33, 333, …) converging to &amp;minus;1. The 10-adic analogue is …999 = &amp;minus;1.]]<br /> The [[p-adic number|''p''-adic number]]s are an alternative number system of interest in [[number theory]]. Like the real numbers, the ''p''-adic numbers can be built from the rational numbers via [[Cauchy sequence]]s; the construction uses a different metric in which 0 is closer to ''p'', and much closer to ''p&lt;sup&gt;n&lt;/sup&gt;'', than it is to 1 . The ''p''-adic numbers form a field for prime ''p'' and a [[ring (mathematics)|ring]] for other ''p'', including 10. So arithmetic can be performed in the ''p''-adics, and there are no infinitesimals.<br /> <br /> In the 10-adic numbers, the analogues of decimal expansions run to the left. The 10-adic expansion …999 does have a last 9, and it does not have a first 9. One can add 1 to the ones place, and it leaves behind only 0s after carrying through: 1&amp;nbsp;+&amp;nbsp;…999&amp;nbsp;=&amp;nbsp;…000&amp;nbsp;=&amp;nbsp;0, and so …999&amp;nbsp;=&amp;nbsp;&amp;minus;1.&lt;ref name=&quot;Fjelstad11&quot;&gt;Fjelstad p.11&lt;/ref&gt; Another derivation uses a geometric series. The infinite series implied by &quot;…999&quot; does not converge in the real numbers, but it converges in the 10-adics, and so one can re-use the familiar formula:<br /> :&lt;math&gt;\ldots999 = 9 + 9(10) + 9(10)^2 + 9(10)^3 + \cdots = \frac{9}{1-10} = -1.&lt;/math&gt;&lt;ref&gt;Fjelstad pp.14–15&lt;/ref&gt;<br /> <br /> (Compare with the series [[#Infinite series and sequences|above]].) A third derivation was invented by a seventh-grader who was doubtful over her teacher's limiting argument that 0.999…&amp;nbsp;=&amp;nbsp;1 but was inspired to take the multiply-by-10 proof [[#Algebra proof|above]] in the opposite direction: if ''x''&amp;nbsp;=&amp;nbsp;…999 then 10''x''&amp;nbsp;=&amp;nbsp; …990, so 10''x''&amp;nbsp;=&amp;nbsp;''x''&amp;nbsp;&amp;minus;&amp;nbsp;9, hence ''x''&amp;nbsp;=&amp;nbsp;&amp;minus;1 again.&lt;ref name=&quot;Fjelstad11&quot; /&gt;<br /> <br /> As a final extension, since 0.999…&amp;nbsp;=&amp;nbsp;1 (in the reals) and …999&amp;nbsp;=&amp;nbsp;&amp;minus;1 (in the 10-adics), then by &quot;blind faith and unabashed juggling of symbols&quot;&lt;ref&gt;DeSua p.901&lt;/ref&gt; one may add the two equations and arrive at …999.999…&amp;nbsp;=&amp;nbsp;0. This equation does not make sense either as a 10-adic expansion or an ordinary decimal expansion, but it turns out to be meaningful and true if one develops a theory of &quot;double-decimals&quot; with eventually-repeating left ends to represent a familiar system: the real numbers.&lt;ref&gt;DeSua pp.902–903&lt;/ref&gt;<br /> <br /> == Related questions ==<br /> <br /> &lt;!--[[Intuitionism]] should be worked in somewhere and explained, not necessarily here.--&gt;<br /> *[[Zeno's paradoxes]], particularly the paradox of the runner, are reminiscent of the apparent paradox that 0.999… and 1 are equal. The runner paradox can be mathematically modelled and then, like 0.999…, resolved using a geometric series. However, it is not clear if this mathematical treatment addresses the underlying metaphysical issues Zeno was exploring.&lt;ref&gt;Wallace p.51, Maor p.17&lt;/ref&gt;<br /> *[[Division by zero]] occurs in some popular discussions of 0.999…, and it also stirs up contention. While most authors choose to define 0.999…, almost all modern treatments leave division by zero undefined, as it can be given no meaning in the standard real numbers. However, division by zero is defined in some other systems, such as [[complex analysis]], where the [[extended complex plane]], i.e. the [[Riemann sphere]], has point &quot;infinity&quot;. Here, it makes sense to define &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;0&lt;/sub&gt; to be infinity;&lt;ref&gt;See, for example, J.B. Conway's treatment of Möbius transformations, pp.47–57&lt;/ref&gt; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed.&lt;ref&gt;Maor p.54&lt;/ref&gt;<br /> *[[Negative zero]] is another redundant feature of many ways of writing numbers. In number systems, such as the real numbers, where &quot;0&quot; denotes the additive identity and is neither positive nor negative, the usual interpretation of &quot;&amp;minus;0&quot; is that it should denote the additive inverse of 0, which forces &amp;minus;0&amp;nbsp;=&amp;nbsp;0.&lt;ref&gt;Munkres p.34, Exercise 1(c)&lt;/ref&gt; Nonetheless, some scientific applications use separate positive and negative zeroes, as do some of the most common computer number systems (for example integers stored in the [[sign and magnitude]] or [[one's complement]] formats, or floating point numbers as specified by the [[IEEE floating-point standard]]).&lt;ref&gt;{{cite book |author=Kroemer, Herbert; Kittel, Charles |title=Thermal Physics |edition=2e |publisher=W. H. Freeman |year=1980 |id=ISBN 0-7167-1088-9 |pages=462}}&lt;/ref&gt;&lt;ref&gt;{{cite web |url=http://msdn.microsoft.com/library/en-us/csspec/html/vclrfcsharpspec_4_1_6.asp |title=Floating point types |work=[[Microsoft Developer Network|MSDN]] C# Language Specification |accessdate=2006-08-29}}&lt;/ref&gt;<br /> <br /> ==Notes==<br /> &lt;div class=&quot;references-2column&quot;&gt;<br /> &lt;!-- maintenance use:references-small --&gt;<br /> &lt;references /&gt;<br /> &lt;/div&gt;<br /> <br /> ==References==<br /> &lt;div class=&quot;references-small&quot; style=&quot;-moz-column-count: 2; column-count: 2;&quot;&gt;<br /> *{{cite book |author=Alligood, Sauer, and Yorke |year=1996 |title=Chaos: An introduction to dynamical systems |chapter=4.1 Cantor Sets |publisher=Springer |id=ISBN 0-387-94677-2}}<br /> *:This introductory textbook on dynamical systems is aimed at undergraduate and beginning graduate students. (p.ix)<br /> *{{cite book |last=Apostol |first=Tom M. |year=1974 |title=Mathematical analysis |edition=2e |publisher=Addison-Wesley |id=ISBN 0-201-00288-4}}<br /> *:A transition from calculus to advanced analysis, ''Mathematical analysis'' is intended to be &quot;honest, rigorous, up to date, and, at the same time, not too pedantic.&quot; (pref.) Apostol's development of the real numbers uses the least upper bound axiom and introduces infinite decimals two pages later. (pp.9–11)<br /> *{{cite book |author=Bartle, R.G. and D.R. Sherbert |year=1982 |title=Introduction to real analysis |publisher=Wiley |id=ISBN 0-471-05944-7}}<br /> *:This text aims to be &quot;an accessible, reasonably paced textbook that deals with the fundamental concepts and techniques of real analysis.&quot; Its development of the real numbers relies on the supremum axiom. (pp.vii-viii)<br /> *{{cite book |last=Beals |first=Richard |title=Analysis |year=2004 |publisher=Cambridge UP |id=ISBN 0-521-60047-2}}<br /> *{{cite book |author=[[Elwyn Berlekamp|Berlekamp, E.R.]]; [[John Horton Conway|J.H. Conway]]; and [[Richard K. Guy|R.K. Guy]] |year=1982 |title=[[Winning Ways for your Mathematical Plays]] |publisher=Academic Press |id=ISBN 0-12-091101-9}}<br /> *{{cite conference |last=Berz |first=Martin |title=Automatic differentiation as nonarchimedean analysis |year=1992 |booktitle=Computer Arithmetic and Enclosure Methods |publisher=Elsevier |pages=439–450 |url=http://citeseer.ist.psu.edu/berz92automatic.html}}<br /> *{{cite book |last=Bunch |first=Bryan H. |title=Mathematical fallacies and paradoxes |year=1982 |publisher=Van Nostrand Reinhold |id=ISBN 0-442-24905-5}}<br /> *:This book presents an analysis of paradoxes and fallacies as a tool for exploring its central topic, &quot;the rather tenuous relationship between mathematical reality and physical reality&quot;. It assumes first-year high-school algebra; further mathematics is developed in the book, including geometric series in Chapter 2. Although 0.999… is not one of the paradoxes to be fully treated, it is briefly mentioned during a development of Cantor's diagonal method. (pp.ix-xi, 119)<br /> *{{cite book |last=Burrell |first=Brian |title=Merriam-Webster's Guide to Everyday Math: A Home and Business Reference |year=1998 |publisher=Merriam-Webster |id=ISBN 0-87779-621-1}}<br /> *{{cite book |last=Conway |first=John B. |authorlink=John B. Conway |title=Functions of one complex variable I |edition=2e |publisher=Springer-Verlag |origyear=1973 |year=1978 |id=ISBN 0-387-90328-3}}<br /> *:This text assumes &quot;a stiff course in basic calculus&quot; as a prerequisite; its stated principles are to present complex analysis as &quot;An Introduction to Mathematics&quot; and to state the material clearly and precisely. (p.vii)<br /> *{{cite book |last=Davies |first=Charles |year=1846 |title=The University Arithmetic: Embracing the Science of Numbers, and Their Numerous Applications |publisher=A.S. Barnes |url=http://books.google.com/books?vid=LCCN02026287&amp;pg=PA175}}<br /> *{{cite journal |last=DeSua |first=Frank C. |title=A system isomorphic to the reals |format=restricted access |journal=The American Mathematical Monthly |volume=67 |number=9 |month=November |year=1960 |pages=900–903 |url=http://links.jstor.org/sici?sici=0002-9890%28196011%2967%3A9%3C900%3AASITTR%3E2.0.CO%3B2-F}}<br /> *{{cite journal |author=Dubinsky, Ed, Kirk Weller, Michael McDonald, and Anne Brown |title=Some historical issues and paradoxes regarding the concept of infinity: an APOS analysis: part 2 |journal=Educational Studies in Mathematics |year=2005 |volume=60 |pages=253–266 |id={{doi|10.1007/s10649-005-0473-0}}}}<br /> *{{cite journal |author=Edwards, Barbara and Michael Ward |year=2004 |month=May |title=Surprises from mathematics education research: Student (mis)use of mathematical definitions |journal=The American Mathematical Monthly |volume=111 |number=5 |pages=411–425 |url=http://www.wou.edu/~wardm/FromMonthlyMay2004.pdf}}<br /> *{{cite book |last=Enderton |first=Herbert B. |year=1977 |title=Elements of set theory |publisher=Elsevier |id=ISBN 0-12-238440-7}}<br /> *:An introductory undergraduate textbook in set theory that &quot;presupposes no specific background&quot;. It is written to accommodate a course focusing on axiomatic set theory or on the construction of number systems; the axiomatic material is marked such that it may be de-emphasized. (pp.xi-xii)<br /> *{{cite book |last=Euler |first=Leonhard |authorlink=Leonhard Euler |origyear=1770 |year=1822 |edition=3rd English edition |title=Elements of Algebra |editor=John Hewlett and Francis Horner, English translators. |publisher=Orme Longman |url=http://books.google.com/books?id=X8yv0sj4_1YC&amp;pg=PA170}}<br /> *{{cite journal |last=Fjelstad |first=Paul |title=The repeating integer paradox |format=restricted access |journal=The College Mathematics Journal |volume=26 |number=1 |month=January |year=1995 |pages=11–15 |url=http://links.jstor.org/sici?sici=0746-8342%28199501%2926%3A1%3C11%3ATRIP%3E2.0.CO%3B2-X |id={{doi|10.2307/2687285}}}}<br /> *{{cite book |last=Gardiner |first=Anthony |title=Understanding Infinity: The Mathematics of Infinite Processes |origyear=1982 |year=2003 |publisher=Dover |id=ISBN 0-486-42538-X}}<br /> *{{cite book |last=Gowers |first=Timothy|authorlink= William Timothy Gowers|title=Mathematics: A Very Short Introduction |year=2002 |publisher=Oxford UP |id=ISBN 0-19-285361-9}}<br /> *{{cite book |last=Grattan-Guinness |first=Ivor |year=1970 |title=The development of the foundations of mathematical analysis from Euler to Riemann |publisher=MIT Press |id=ISBN 0-262-07034-0}}<br /> *{{cite book | last=Griffiths | first=H.B. | coauthors=P.J. Hilton | title=A Comprehensive Textbook of Classical Mathematics: A Contemporary Interpretation | year=1970 | publisher=Van Nostrand Reinhold | location=London | id=ISBN 0-442-02863-6. {{LCC|QA37.2|G75}}}}<br /> *:This book grew out of a course for [[Birmingham]]-area [[grammar school]] mathematics teachers. The course was intended to convey a university-level perspective on [[mathematics education|school mathematics]], and the book is aimed at students &quot;who have reached roughly the level of completing one year of specialist mathematical study at a university&quot;. The real numbers are constructed in Chapter 24, &quot;perhaps the most difficult chapter in the entire book&quot;, although the authors ascribe much of the difficulty to their use of [[ideal theory]], which is not reproduced here. (pp.vii, xiv)<br /> *{{cite journal |last=Kempner |first=A.J. |title=Anormal Systems of Numeration |format=restricted access |journal=The American Mathematical Monthly |volume=43 |number=10 |month=December |year=1936 |pages=610–617 |url=http://links.jstor.org/sici?sici=0002-9890%28193612%2943%3A10%3C610%3AASON%3E2.0.CO%3B2-0}}<br /> *{{cite journal |author=Komornik, Vilmos; and Paola Loreti |title=Unique Developments in Non-Integer Bases |format=restricted access |journal=The American Mathematical Monthly |volume=105 |number=7 |year=1998 |pages=636–639 |url=http://links.jstor.org/sici?sici=0002-9890%28199808%2F09%29105%3A7%3C636%3AUDINB%3E2.0.CO%3B2-G}}<br /> *{{cite journal |last=Leavitt |first=W.G. |title=A Theorem on Repeating Decimals |format=restricted access |journal=The American Mathematical Monthly |volume=74 |number=6 |year=1967 |pages=669–673 |url=http://links.jstor.org/sici?sici=0002-9890%28196706%2F07%2974%3A6%3C669%3AATORD%3E2.0.CO%3B2-0}}<br /> *{{cite journal |last=Leavitt |first=W.G. |title=Repeating Decimals |format=restricted access |journal=The College Mathematics Journal |volume=15 |number=4 |month=September |year=1984 |pages=299–308 |url=http://links.jstor.org/sici?sici=0746-8342%28198409%2915%3A4%3C299%3ARD%3E2.0.CO%3B2-D}}<br /> *{{cite web | url=http://arxiv.org/abs/math.NT/0605182 |title=Midy's Theorem for Periodic Decimals |last=Lewittes |first=Joseph |work=New York Number Theory Workshop on Combinatorial and Additive Number Theory |year=2006 |publisher=[[arXiv]]}}<br /> *{{cite journal |last=Lightstone |first=A.H. |title=Infinitesimals |format=restricted access |journal=The American Mathematical Monthly |year=1972 |volume=79 |number=3 |month=March |pages=242–251 |url=http://links.jstor.org/sici?sici=0002-9890%28197203%2979%3A3%3C242%3AI%3E2.0.CO%3B2-F}}<br /> *{{cite book |last=Mankiewicz |first=Richard |year=2000 |title=The story of mathematics|publisher=Cassell |id=ISBN 0-304-35473-2}}<br /> *:Mankiewicz seeks to represent &quot;the history of mathematics in an accessible style&quot; by combining visual and qualitative aspects of mathematics, mathematicians' writings, and historical sketches. (p.8)<br /> *{{cite book |last=Maor |first=Eli |title=To infinity and beyond: a cultural history of the infinite |year=1987 |publisher=Birkhäuser |id=ISBN 3-7643-3325-1}}<br /> *:A topical rather than chronological review of infinity, this book is &quot;intended for the general reader&quot; but &quot;told from the point of view of a mathematician&quot;. On the dilemma of rigor versus readable language, Maor comments, &quot;I hope I have succeeded in properly addressing this problem.&quot; (pp.x-xiii)<br /> *{{cite book |last=Mazur |first=Joseph |title=Euclid in the Rainforest: Discovering Universal Truths in Logic and Math |year=2005 |publisher=Pearson: Pi Press |id=ISBN 0-13-147994-6}}<br /> *{{cite book |last=Munkres |first=James R. |title=Topology |year=2000 |origyear=1975 |edition=2e |publisher=Prentice-Hall |id=ISBN 0-13-181629-2}}<br /> *:Intended as an introduction &quot;at the senior or first-year graduate level&quot; with no formal prerequisites: &quot;I do not even assume the reader knows much set theory.&quot; (p.xi) Munkres' treatment of the reals is axiomatic; he claims of bare-hands constructions, &quot;This way of approaching the subject takes a good deal of time and effort and is of greater logical than mathematical interest.&quot; (p.30)<br /> *{{cite book |last=Pedrick |first=George |title=A First Course in Analysis |year=1994 |publisher=Springer |id=ISBN 0-387-94108-8}}<br /> *{{cite journal |last=Petkovšek |first=Marko |title=Ambiguous Numbers are Dense |format=restricted access |journal=[[The American Mathematical Monthly|American Mathematical Monthly]] |volume=97 |number=5 |month=May |year=1990 |pages=408–411 |url=http://links.jstor.org/sici?sici=0002-9890%28199005%2997%3A5%3C408%3AANAD%3E2.0.CO%3B2-Q}}<br /> *{{cite conference |author=Pinto, Márcia and David Tall |title=Following students' development in a traditional university analysis course |booktitle=PME25 |pages=v4: 57–64 |year=2001 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot2001j-pme25-pinto-tall.pdf}}<br /> *{{cite book |author=Protter, M.H. and C.B. Morrey |year=1991 |edition=2e |title=A first course in real analysis |publisher=Springer |id=ISBN 0-387-97437-7}}<br /> *:This book aims to &quot;present a theoretical foundation of analysis that is suitable for students who have completed a standard course in calculus.&quot; (p.vii) At the end of Chapter 2, the authors assume as an axiom for the real numbers that bounded, nodecreasing sequences converge, later proving the nested intervals theorem and the least upper bound property. (pp.56–64) Decimal expansions appear in Appendix 3, &quot;Expansions of real numbers in any base&quot;. (pp.503–507)<br /> *{{cite book |last=Pugh |first=Charles Chapman |title=Real mathematical analysis |year=2001 |publisher=Springer-Verlag |id=ISBN 0-387-95297-7}}<br /> *:While assuming familiarity with the rational numbers, Pugh introduces Dedekind cuts as soon as possible, saying of the axiomatic treatment, &quot;This is something of a fraud, considering that the entire structure of analysis is built on the real number system.&quot; (p.10) After proving the least upper bound property and some allied facts, cuts are not used in the rest of the book.<br /> *{{cite journal |first=Fred |last=Richman |year=1999 |month=December |title=Is 0.999… = 1? |format=restricted access |journal=[[Mathematics Magazine]] |volume=72 |issue=5 |pages=396–400 |url=http://links.jstor.org/sici?sici=0025-570X%28199912%2972%3A5%3C396%3AI0.%3D1%3E2.0.CO%3B2-F}} Free HTML preprint: {{cite web |url=http://www.math.fau.edu/Richman/HTML/999.htm |first=Fred|last=Richman|title=Is 0.999… = 1? |date=1999-06-08 |accessdate=2006-08-23}} Note: the journal article contains material and wording not found in the preprint.<br /> *{{cite book |last=Robinson |first=Abraham |authorlink=Abraham Robinson |title=Non-standard analysis |year=1996 |edition=Revised edition |publisher=Princeton University Press|id=ISBN 0-691-04490-2}}<br /> *{{cite book |last=Rosenlicht |first=Maxwell |year=1985 |title=Introduction to Analysis |publisher=Dover |id=ISBN 0-486-65038-3}}<br /> *{{cite book |last=Rudin |first=Walter |authorlink=Walter Rudin |title=Principles of mathematical analysis |edition=3e |year=1976 |origyear=1953 |publisher=McGraw-Hill |id=ISBN 0-07-054235-X}}<br /> *:A textbook for an advanced undergraduate course. &quot;Experience has convinced me that it is pedagogically unsound (though logically correct) to start off with the construction of the real numbers from the rational ones. At the beginning, most students simply fail to appreciate the need for doing this. Accordingly, the real number system is introduced as an ordered field with the least-upper-bound property, and a few interesting applications of this property are quickly made. However, Dedekind's construction is not omitted. It is now in an Appendix to Chapter 1, where it may be studied and enjoyed whenever the time is ripe.&quot; (p.ix)<br /> *{{cite journal |last=Shrader-Frechette |first=Maurice |title=Complementary Rational Numbers |format=restricted access |journal=Mathematics Magazine |volume=51 |number=2 |month=March |year=1978 |pages=90–98 |url=http://links.jstor.org/sici?sici=0025-570X%28197803%2951%3A2%3C90%3ACRN%3E2.0.CO%3B2-O}}<br /> *{{cite book |author=Smith, Charles and Charles Harrington |year=1895 |title=Arithmetic for Schools |publisher=Macmillan |url=http://books.google.com/books?vid=LCCN02029670&amp;pg=PA115}}<br /> *{{cite book |last=Sohrab |first=Houshang |title=Basic Real Analysis |year=2003 |publisher=Birkhäuser |id=ISBN 0-8176-4211-0}}<br /> *{{cite book |last=Stewart |first=Ian |title=The Foundations of Mathematics |year=1977 |publisher=Oxford UP |id=ISBN 0-19-853165-6}}<br /> *{{cite book |last=Stewart |first=James |title=Calculus: Early transcendentals |edition=4e |year=1999 |publisher=Brooks/Cole |id=ISBN 0-534-36298-2}}<br /> *:This book aims to &quot;assist students in discovering calculus&quot; and &quot;to foster conceptual understanding&quot;. (p.v) It omits proofs of the foundations of calculus.<br /> *{{cite journal |author=D.O. Tall and R.L.E. Schwarzenberger |title=Conflicts in the Learning of Real Numbers and Limits |journal=Mathematics Teaching |year=1978 |volume=82 |pages=44–49 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot1978c-with-rolph.pdf}}<br /> *{{cite journal |last=Tall |first=David |authorlink=David Tall |title=Conflicts and Catastrophes in the Learning of Mathematics |journal=Mathematical Education for Teaching |year=1976/7 |volume=2 |number=4 |pages=2–18 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot1976a-confl-catastrophy.pdf}} <br /> *{{cite journal |last=Tall |first=David |title=Cognitive Development In Advanced Mathematics Using Technology |journal=Mathematics Education Research Journal |year=2000 |volume=12 |number=3 |pages=210–230 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot2001b-merj-amt.pdf}}<br /> *{{cite book|last=von Mangoldt|first=Dr. Hans|authorlink =Hans Carl Friedrich von Mangoldt| title=Einführung in die höhere Mathematik|edition=1st ed.|year=1911|publisher=Verlag von S. Hirzel| location=Leipzig|language=German|chapter=Reihenzahlen}}<br /> *{{cite book |last=Wallace |first=David Foster|authorlink =David Foster Wallace |title=Everything and more: a compact history of infinity |year=2003 |publisher=Norton |id=ISBN 0-393-00338-8}}<br /> &lt;/div&gt;<br /> <br /> == See also ==<br /> * [[Decimal representation]]<br /> * [[Infinity]]<br /> * [[Limit (mathematics)]]<br /> * [[Naive mathematics]]<br /> * [[Non-standard analysis]]<br /> * [[Real analysis]]<br /> * [[Series (mathematics)]]<br /> <br /> == External links==<br /> {{Spoken Wikipedia|0.999....ogg|2006-10-19}}<br /> {{commons|0.999...}} <br /> *[http://www.cut-the-knot.org/arithmetic/999999.shtml .999999… = 1?] from [[cut-the-knot]]<br /> *[http://mathforum.org/dr.math/faq/faq.0.9999.html Why does 0.9999… = 1 ?]<br /> *[http://www.newton.dep.anl.gov/askasci/math99/math99167.htm Ask A Scientist: Repeating Decimals]<br /> *[http://mathcentral.uregina.ca/QQ/database/QQ.09.00/joan2.html Proof of the equality based on arithmetic]<br /> *[http://descmath.com/diag/nines.html Repeating Nines]<br /> &lt;!-- *[http://www.steve.bush.org/links/humor/pg001185.html Mathematical Gazette joke] --&gt;*[http://qntm.org/pointnine Point nine recurring equals one]<br /> *[http://www.warwick.ac.uk/staff/David.Tall/themes/limits-infinity.html David Tall's research on mathematics cognition]<br /> <br /> {{featured article}}<br /> <br /> [[be-x-old:0,(9)]]<br /> [[Category:Mathematics paradoxes]]<br /> [[Category:Real analysis]]<br /> [[Category:Real numbers]]<br /> [[Category:Numeration]]<br /> [[Category:Articles containing proofs]]<br /> <br /> {{Link FA|ja}}<br /> [[be:0,(9)]]<br /> [[de:Eins]]<br /> [[el:0,999...]]<br /> [[es:0,9 periódico]]<br /> [[fr:Développement décimal de l'unité]]<br /> [[he:0.999...]]<br /> [[ka:0.999...]]<br /> [[ja:0.999...]]<br /> [[nov:0.999...]]<br /> [[pl:0,(9)]]<br /> [[pt:0,999...]]<br /> [[ro:0,(9)]]<br /> [[ru:0,(9)]]<br /> [[sl:0,999...]]<br /> [[fi:0,999...]]<br /> [[sv:0,999...]]<br /> [[th:การพิสูจน์ว่า 0.999... เท่ากับ 1]]<br /> [[zh:证明0.999...等于1]]</div> Repku https://de.wikipedia.org/w/index.php?title=0,999%E2%80%A6&diff=127433923 0,999… 2007-06-25T05:32:39Z <p>Repku: /* Skepticism in education */ POV</p> <hr /> <div>&lt;!-- NOTE: The content of this article is well-established. If you have an argument against one or more of the proofs listed here, please read the FAQ on [[Talk:0.999...]], or discuss it on [[Talk:0.999.../Arguments]]. However, please understand that the earlier, more naive proofs are not as rigorous as the later ones as they intend to appeal to intuition, and as such may require further justification to be complete. Thank you. --&gt;<br /> [[Image:999 Perspective.png|300px|right]]&lt;!--[[Image:999 Perspective-color.png|300px|right]]--&gt;<br /> In [[mathematics]], the [[recurring decimal]] '''0.999…''' , which is also written as &lt;math&gt;0.\bar{9} , 0.\dot{9}&lt;/math&gt; or &lt;math&gt;\ 0.(9)&lt;/math&gt;, denotes a [[real number]] [[equality (mathematics)|equal]] to [[1 (number)|1]]. In other words, &quot;0.999…&quot; represents the same number as the symbol &quot;1&quot;. The equality has long been accepted by professional mathematicians and taught in textbooks. Various [[mathematical proof|proof]]s of this identity have been formulated with varying [[Rigour#Mathematical rigour|rigour]], preferred development of the real numbers, background assumptions, historical context, and target audience.<br /> <br /> In the last few decades, researchers of [[mathematics education]] have studied the reception of this [[equation]] among students. A great many question or reject the equality, at least initially. Common arguments against the equality assume that each unique [[decimal expansion]] must correspond to a unique number, that [[infinitesimal]] quantities should exist, or that 0.999…'s expansion should eventually terminate with a final 9. Number systems in which one or more of those assumptions hold can certainly be constructed, and in those systems 0.999… can be strictly [[less than]] 1. However, mathematics is most commonly performed using the [[real numbers]], a number system in which those assumptions happen to be false.<br /> <br /> Non-uniqueness of such expansions is not isolated to the decimal system. The same phenomenon occurs in [[integer]] [[radix|base]]s other than 10, and mathematicians have also quantified the ways of writing 1 in [[Non-integer representation|non-integer bases]]. Nor is this phenomenon unique to 1: every non-zero, terminating decimal has a twin with trailing 9s. For reasons of simplicity, the terminating decimal is almost always the preferred representation, further contributing to the misconception that it is the ''only'' representation. In fact, once infinite expansions are allowed, all [[positional numeral system]]s contain an infinity of ambiguous numbers. For example, 28.3287 is the same number as 28.3286999…, 28.3287000, or many other representations. These various identities have been applied to better understand patterns in the decimal expansions of [[fraction (mathematics)|fraction]]s and the structure of a simple [[fractal]], the [[Cantor set]]. They also occur in a classic investigation of the infinitude of the entire set of real numbers.<br /> <br /> ==Introduction==<br /> 0.999… is a number written in the [[decimal]] [[numeral system]], and some of the simplest proofs that 0.999… = 1 rely on the convenient [[arithmetic]] properties of this system. Most of decimal arithmetic — [[addition]], [[subtraction]], [[multiplication]], [[division (mathematics)|division]], and [[inequality|comparison]] — uses manipulations at the digit level that are much the same as those for [[integer]]s. As with integers, any two ''finite'' decimals with different digits mean different numbers (ignoring trailing zeros). In particular, any number of the form 0.99…9, where the 9s eventually stop, is strictly less than 1.<br /> <br /> The meaning of &quot;…&quot; ([[ellipsis]]) in 0.999… must be precisely specified. The use here is different from the usage in language or in 0.99…9, in which the ellipsis specifies that some ''finite'' portion is left unstated or otherwise omitted. When used to specify a [[recurring decimal]], &quot;…&quot; means that some ''infinite'' portion is left unstated. In particular, 0.999… indicates the [[limit (mathematics)|limit]] of the [[sequence]] (0.9,0.99,0.999,0.9999,…) (or, equivalently, the sum of all terms of the form 9&amp;nbsp;&amp;times;&amp;nbsp;0.1&lt;sup&gt;''k''&lt;/sup&gt; for integers k=1 to infinity). Misinterpreting the meaning of 0.999… accounts for some of the misunderstanding about its equality to 1.<br /> <br /> There are many proofs that 0.999…=1. Before demonstrating this using algebraic methods, consider that two [[real number]]s are identical if and only if their (absolute) difference is not equal to a positive (third) real number. Given any positive value, the difference between 1 and 0.999… is less than this value (which can be formally demonstrated using a [[Interval (mathematics)|closed interval]] defined by the above sequence and the [[triangle inequality]]). Thus the difference is 0 and the numbers are identical. This also explains why 0.333… = &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt;, etc.<br /> <br /> Unlike the case with integers and finite decimals, other notations can express a single number in multiple ways. For example, using [[Fraction (mathematics)|fraction]]s, &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; = &lt;sup&gt;2&lt;/sup&gt;⁄&lt;sub&gt;6&lt;/sub&gt;. Infinite decimals, however, can express the same number in at most two different ways. If there are two ways, then one of them must end with an infinite series of nines, and the other must terminate (that is, consist of a recurring series of zeros from a certain point on).<br /> <br /> == Skepticism ==<br /> Some people, particularly students of mathematics, often reject the equality of 0.999… and 1, for reasons ranging from their disparate appearance to deep misgivings over the [[Limit of a sequence|limit]] concept and disagreements over the nature of [[infinitesimal]]s. There are many common contributing factors to the confusion:<br /> *Students are often &quot;mentally committed to the notion that a number can be represented in one and only one way by a decimal.&quot; Seeing two manifestly different decimals representing the same number appears to be a [[paradox]], which is amplified by the appearance of the seemingly well-understood number 1.&lt;ref&gt;Bunch p.119; Tall and Schwarzenberger p.6. The last suggestion is due to Burrell (p.28): &quot;Perhaps the most reassuring of all numbers is 1. …So it is particularly unsettling when someone tries to pass off 0.9~ as 1.&quot;&lt;/ref&gt;<br /> *Some students interpret &quot;0.999…&quot; (or similar notation) as a large but finite string of 9s, possibly with a variable, unspecified length. If they accept an infinite string of nines, they may still expect a last 9 &quot;at infinity&quot;.&lt;ref&gt;Tall and Schwarzenberger pp.6–7; Tall 2000 p.221&lt;/ref&gt;<br /> *Intuition and ambiguous teaching lead students to think of the limit of a sequence as a kind of infinite process rather than a fixed value, since a sequence need not reach its limit. Where students accept the difference between a sequence of numbers and its limit, they might read &quot;0.999…&quot; as meaning the sequence rather than its limit.&lt;ref&gt;Tall and Schwarzenberger p.6; Tall 2000 p.221&lt;/ref&gt;<br /> *Some students regard 0.999… as having a fixed value which is less than 1 but by an infinitely small amount.<br /> *Some students believe that the value of a [[convergent series]] is an approximation, not the actual value.<br /> These ideas are mistaken in the context of the standard real numbers, although many of them are partially borne out in more sophisticated structures, either invented for their general mathematical utility or as instructive [[counterexample]]s to better understand 0.999….<br /> <br /> Many of these explanations were found by professor David Tall, who has studied characteristics of teaching and cognition that lead to some of the misunderstandings he has encountered in his college students. Interviewing his students to determine why the vast majority initially rejected the equality, he found that &quot;students continued to conceive of 0.999… as a sequence of numbers getting closer and closer to 1 and not a fixed value, because 'you haven’t specified how many places there are' or 'it is the nearest possible decimal below 1'&quot;.&lt;ref&gt;Tall 2000 p.221&lt;/ref&gt;<br /> <br /> Of the elementary proofs, multiplying 0.333… = &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; by 3 is apparently a successful strategy for convincing reluctant students that 0.999… = 1. Still, when confronted with the conflict between their belief of the first equation and their disbelief of the second, some students either begin to disbelieve the first equation or simply become frustrated.&lt;ref&gt;Tall 1976 pp.10–14&lt;/ref&gt; Nor are more sophisticated methods foolproof: students who are fully capable of applying rigorous definitions may still fall back on intuitive images when they are surprised by a result in advanced mathematics, including 0.999…. For example, one real analysis student was able to prove that 0.333… = &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; using a [[supremum]] definition, but then insisted that 0.999… &lt; 1 based on her earlier understanding of long division.&lt;ref&gt;Pinto and Tall p.5, Edwards and Ward pp.416–417&lt;/ref&gt; Others still are able to prove that &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; = 0.333…, but, upon being confronted by the [[#Fraction proof|fractional proof]], insist that &quot;logic&quot; supersedes the mathematical calculations.<br /> <br /> [[Joseph Mazur]] tells the tale of an otherwise brilliant calculus student of his who &quot;challenged almost everything I said in class but never questioned his calculator,&quot; and who had come to believe that nine digits are all one needs to do mathematics, including calculating the square root of 23. The student remained uncomfortable with a limiting argument that 9.99… = 10, calling it a &quot;wildly imagined infinite growing process.&quot;&lt;ref&gt;Mazur pp.137–141&lt;/ref&gt;<br /> <br /> As part of Ed Dubinsky's &quot;[[APOS theory]]&quot; of mathematical learning, Dubinsky and his collaborators (2005) propose that students who conceive of 0.999… as a finite, indeterminate string with an infinitely small distance from 1 have &quot;not yet constructed a complete process conception of the infinite decimal&quot;. Other students who have a complete process conception of 0.999… may not yet be able to &quot;encapsulate&quot; that process into an &quot;object conception&quot;, like the object conception they have of 1, and so they view the process 0.999… and the object 1 as incompatible. Dubinsky ''et al.'' also link this mental ability of encapsulation to viewing ⅓ as a number in its own right and to dealing with the set of natural numbers as a whole.&lt;ref&gt;Dubinsky ''et al.'' 261–262&lt;/ref&gt;<br /> <br /> ==Proofs==<br /> <br /> ===Algebra===<br /> ==== Fractions ====<br /> <br /> One reason that infinite decimals are a necessary extension of finite decimals is to represent fractions. Using [[long division]], a simple division of integers like &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; becomes a recurring decimal, 0.333…, in which the digits repeat without end. This decimal yields a quick proof for 0.999… = 1. Multiplication of 3 times 3 produces 9 in each digit, so 3 × 0.333… equals 0.999…. And 3 × &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; equals 1, so &lt;math&gt;0.999\dots = 1&lt;/math&gt;.&lt;ref name=&quot;CME&quot;&gt;cf. with the binary version of the same argument in [[Silvanus P. Thompson]], ''Calculus made easy'', St. Martin's Press, New York, 1998. ISBN 0-312-18548-0.&lt;/ref&gt;<br /> <br /> Another form of this proof multiplies &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;9&lt;/sub&gt; = 0.111… by 9.<br /> <br /> {| style=&quot;wikitable&quot;<br /> |<br /> <br /> &lt;math&gt;<br /> \begin{align}<br /> 0.333\dots &amp;= \frac{1}{3} \\<br /> 3 \times 0.333\dots &amp;= 3 \times \frac{1}{3} = \frac{3 \times 1}{3} \\ <br /> 0.999\dots &amp;= 1<br /> \end{align}<br /> &lt;/math&gt;<br /> <br /> |width=&quot;50px&quot;|<br /> <br /> ||<br /> <br /> &lt;math&gt;<br /> \begin{align}<br /> 0.111\dots &amp;= \frac{1}{9} \\<br /> 9 \times 0.111\dots &amp;= 9 \times \frac{1}{9} = \frac{9 \times 1}{9} \\ <br /> 0.999\dots &amp;= 1<br /> \end{align}<br /> &lt;/math&gt;<br /> <br /> |}<br /> <br /> An even easier explanation is that &lt;sup&gt;9&lt;/sup&gt;/&lt;sub&gt;9&lt;/sup&gt; = 1, and &lt;sup&gt;9&lt;/sup&gt;/&lt;sub&gt;9&lt;/sup&gt; = 0.999... So, according to the [[transitive property]], 0.999... must equal 1.<br /> <br /> ==== Digit manipulation ====<br /> <br /> Another kind of proof more easily adapts to other repeating decimals. When a number in decimal notation is multiplied by 10, the digits do not change but the decimal separator moves one place to the right. Thus 10 × 0.999… equals 9.999…, which is 9 more than the original number. <br /> <br /> To see this, consider that subtracting 0.999… from 9.999… can proceed digit by digit; in each of the digits after the decimal separator the result is 9 − 9, which is 0. But trailing zeros do not change a number, so the difference is exactly 9. The final step uses algebra. Let the decimal number in question, 0.999…, be called ''c''. Then 10''c'' &amp;minus; ''c'' = 9. This is the same as 9''c'' = 9. Dividing both sides by 9 completes the proof: ''c'' = 1.&lt;ref name=&quot;CME&quot;/&gt; Written as a sequence of equations, <br /> <br /> &lt;math&gt;<br /> \begin{align}<br /> c &amp;= 0.999\ldots \\<br /> 10 c &amp;= 9.999\ldots \\<br /> 10 c - c &amp;= 9.999\ldots - 0.999\ldots \\<br /> 9 c &amp;= 9 \\<br /> c &amp;= 1 \\<br /> 0.999\ldots &amp;= 1<br /> \end{align}<br /> &lt;/math&gt;<br /> <br /> The validity of the digit manipulations in the above two proofs does not have to be taken on faith or as an axiom; it can be proven by investigating the fundamental relationship between decimals and the numbers they represent. For finite decimals, this process relies only on the arithmetic of real numbers. To prove that the manipulations also work for infinite decimals, one needs the methods of [[real analysis]].<br /> <br /> === Real analysis ===<br /> Since the question of 0.999… does not affect the formal development of mathematics, it can be postponed until one proves the standard theorems of [[real analysis]]. One requirement is to characterize real numbers that can be written in decimal notation, consisting of an optional sign, a finite sequence of any number of digits forming an integer part, a decimal separator, and a sequence of digits forming a fractional part. For the purpose of discussing 0.999…, the integer part can be summarized as ''b''&lt;sub&gt;0&lt;/sub&gt; and one can neglect negatives, so a decimal expansion has the form<br /> :&lt;math&gt;b_0.b_1b_2b_3b_4b_5\dots&lt;/math&gt;<br /> <br /> It is vital that the fraction part, unlike the integer part, is not limited to a finite number of digits. This is a [[positional notation]], so for example the 5 in 500 contributes ten times as much as the 5 in 50, and the 5 in 0.05 contributes one tenth as much as the 5 in 0.5.<br /> <br /> ====Infinite series and sequences====<br /> {{further|[[Decimal representation]]}}<br /> <br /> Perhaps the most common development of decimal expansions is to define them as sums of [[infinite series]]. In general:<br /> :&lt;math&gt;b_0 . b_1 b_2 b_3 b_4 \ldots = b_0 + b_1({\tfrac{1}{10}}) + b_2({\tfrac{1}{10}})^2 + b_3({\tfrac{1}{10}})^3 + b_4({\tfrac{1}{10}})^4 + \cdots .&lt;/math&gt;<br /> <br /> For 0.999… one can apply the powerful [[convergent series|convergence]] theorem concerning [[infinite geometric series]]:&lt;ref&gt;Rudin p.61, Theorem 3.26; J. Stewart p.706&lt;/ref&gt;<br /> :If &lt;math&gt;|r| &lt; 1&lt;/math&gt; then &lt;math&gt;ar+ar^2+ar^3+\cdots = \frac{ar}{1-r}.&lt;/math&gt;<br /> <br /> Since 0.999… is such a sum with a common ratio &lt;math&gt;r=\textstyle\frac{1}{10}&lt;/math&gt;, the theorem makes short work of the question:<br /> :&lt;math&gt;0.999\ldots = 9(\tfrac{1}{10}) + 9({\tfrac{1}{10}})^2 + 9({\tfrac{1}{10}})^3 + \cdots = \frac{9({\tfrac{1}{10}})}{1-{\tfrac{1}{10}}} = 1.\,&lt;/math&gt;<br /> This proof (actually, that 10 equals 9.999…) appears as early as 1770 in [[Leonhard Euler]]'s ''[[Elements of Algebra]]''.&lt;ref&gt;Euler p.170&lt;/ref&gt; <br /> <br /> [[Image:base4 333.svg|left|thumb|200px|Limits: The unit interval, including the '''base-4''' decimal sequence (.3, .33, .333, …) converging to 1.]]<br /> The sum of a geometric series is itself a result even older than Euler. A typical 18th-century derivation used a term-by-term manipulation similar to the [[#Algebraic proof|algebra proof]] given above, and as late as 1811, Bonnycastle's textbook ''An Introduction to Algebra'' uses such an argument for geometric series to justify the same maneuver on 0.999….&lt;ref&gt;Grattan-Guinness p.69; Bonnycastle p.177&lt;/ref&gt; A 19th-century reaction against such liberal summation methods resulted in the definition that still dominates today: the sum of a series is ''defined'' to be the limit of the sequence of its partial sums. A corresponding proof of the theorem explicitly computes that sequence; it can be found in any proof-based introduction to calculus or analysis.&lt;ref&gt;For example, J. Stewart p.706, Rudin p.61, Protter and Morrey p.213, Pugh p.180, J.B. Conway p.31&lt;/ref&gt;<br /> <br /> A sequence (''x''&lt;sub&gt;0&lt;/sub&gt;, ''x''&lt;sub&gt;1&lt;/sub&gt;, ''x''&lt;sub&gt;2&lt;/sub&gt;, …) has a [[limit of a sequence|limit]] ''x'' if the distance |''x''&amp;nbsp;&amp;minus;&amp;nbsp;''x''&lt;sub&gt;''n''&lt;/sub&gt;| becomes arbitrarily small as ''n'' increases. The statement that 0.999…&amp;nbsp;=&amp;nbsp;1 can itself be interpreted and proven as a limit:<br /> :&lt;math&gt;0.999\ldots = \lim_{n\to\infty}0.\underbrace{ 99\ldots9 }_{n} = \lim_{n\to\infty}\sum_{k = 1}^n\frac{9}{10^k} = \lim_{n\to\infty}\left(1-\frac{1}{10^n}\right) = 1-\lim_{n\to\infty}\frac{1}{10^n} = 1.\,&lt;/math&gt;&lt;ref&gt;The limit follows, for example, from Rudin p. 57, Theorem 3.20e. For a more direct approach, see also Finney, Weir, Giordano (2001) ''Thomas' Calculus: Early Transcendentals'' 10ed, Addison-Wesley, New York. Section 8.1, example 2(a), example 6(b).&lt;/ref&gt;<br /> <br /> The last step &amp;mdash; that lim &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;10&lt;sup&gt;''n''&lt;/sup&gt;&lt;/sub&gt; = 0 &amp;mdash; is often justified by the axiom that the real numbers have the [[Archimedean property]]. This limit-based attitude towards 0.999… is often put in more evocative but less precise terms. For example, the 1846 textbook ''The University Arithmetic'' explains, &quot;.999 +, continued to infinity = 1, because every annexation of a 9 brings the value closer to 1&quot;; the 1895 ''Arithmetic for Schools'' says, &quot;…when a large number of 9s is taken, the difference between 1 and .99999… becomes inconceivably small&quot;.&lt;ref&gt;Davies p.175; Smith and Harrington p.115&lt;/ref&gt; Such [[heuristic]]s are often interpreted by students as implying that 0.999… itself is less than 1.<br /> <br /> ====Nested intervals and least upper bounds====<br /> {{further|[[Nested intervals]]}}<br /> <br /> [[Image:999 Intervals C.svg|right|thumb|250px|Nested intervals: in base 3, 1 = 1.000… = 0.222…]]<br /> The series definition above is a simple way to define the real number named by a decimal expansion. A complementary approach is tailored to the opposite process: for a given real number, define the decimal expansion(s) that are to name it.<br /> <br /> If a real number ''x'' is known to lie in the [[closed interval]] [0, 10] (i.e., it is greater than or equal to 0 and less than or equal to 10), one can imagine dividing that interval into ten pieces that overlap only at their endpoints: [0, 1], [1, 2], [2, 3], and so on up to [9, 10]. The number ''x'' must belong to one of these; if it belongs to [2, 3] then one records the digit &quot;2&quot; and subdivides that interval into [2, 2.1], [2.1, 2.2], …, [2.8, 2.9], [2.9, 3]. Continuing this process yields an infinite sequence of [[nested intervals]], labeled by an infinite sequence of digits ''b''&lt;sub&gt;0&lt;/sub&gt;, ''b''&lt;sub&gt;1&lt;/sub&gt;, ''b''&lt;sub&gt;2&lt;/sub&gt;, ''b''&lt;sub&gt;3&lt;/sub&gt;, …, and one writes<br /> :''x'' = ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;…<br /> <br /> In this formalism, the fact that 1 = 1.000… and also 1 = 0.999… reflects the fact that 1 lies in both [0, 1] and [1, 2], so one can choose either subinterval when finding its digits. To ensure that this notation does not abuse the &quot;=&quot; sign, one needs a way to reconstruct a unique real number for each decimal. This can be done with limits, but other constructions continue with the ordering theme.&lt;ref&gt;Beals p.22; I. Stewart p.34&lt;/ref&gt;<br /> <br /> One straightforward choice is the [[nested intervals theorem]], which guarantees that given a sequence of nested, closed intervals whose lengths become arbitrarily small, the intervals contain exactly one real number in their [[intersection (set theory)|intersection]]. So ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… is defined to be the unique number contained within all the intervals [''b''&lt;sub&gt;0&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt; + 1], [''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt; + 0.1], and so on. 0.999… is then the unique real number that lies in all of the intervals [0, 1], [0.9, 1], [0.99, 1], and [0.99…9, 1] for every finite string of 9s. Since 1 is an element of each of these intervals, 0.999… = 1.&lt;ref&gt;Bartle and Sherbert pp.60–62; Pedrick p.29; Sohrab p.46&lt;/ref&gt;<br /> <br /> The Nested Intervals Theorem is usually founded upon a more fundamental characteristic of the real numbers: the existence of [[least upper bound]]s or ''suprema''. To directly exploit these objects, one may define ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… to be the least upper bound of the set of approximants {''b''&lt;sub&gt;0&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;, ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;, …}.&lt;ref&gt;Apostol pp.9, 11–12; Beals p.22; Rosenlicht p.27&lt;/ref&gt; One can then show that this definition (or the nested intervals definition) is consistent with the subdivision procedure, implying 0.999… = 1 again. Tom Apostol concludes,<br /> &lt;blockquote&gt;<br /> The fact that a real number might have two different decimal representations is merely a reflection of the fact that two different sets of real numbers can have the same supremum.&lt;ref&gt;Apostol p.12&lt;/ref&gt;<br /> &lt;/blockquote&gt;<br /> <br /> === Real numbers ===<br /> {{main|Construction of real numbers}}<br /> <br /> Other approaches explicitly define real numbers to be certain [[construction of real numbers|structures built upon the rational numbers]], using [[axiomatic set theory]]. The [[natural number]]s — 0, 1, 2, 3, and so on — begin with 0 and continue upwards, so that every number has a successor. One can extend the natural numbers with their negatives to give all the [[integer]]s, and to further extend to ratios, giving the [[rational number]]s. These number systems are accompanied by the arithmetic of addition, subtraction, multiplication, and division. More subtly, they include [[order theory|ordering]], so that one number can be compared to another and found less than, greater than, or equal.<br /> <br /> The step from rationals to reals is a major extension. There are at least two popular ways to achieve this step, both published in 1872: Dedekind cuts and Cauchy sequences. Proofs that 0.999… = 1 which directly use these constructions are not found in textbooks on real analysis, where the modern trend for the last few decades has been to use an axiomatic analysis. Even when a construction is offered, it is usually applied towards proving the axioms of the real numbers, which then support the above proofs. However, several authors express the idea that starting with a construction is more logically appropriate, and the resulting proofs are more self-contained.&lt;ref&gt;The historical synthesis is claimed by Griffiths and Hilton (p.xiv) in 1970 and again by Pugh (p.10) in 2001; both actually prefer Dedekind cuts to axioms. For the use of cuts in textbooks, see Pugh p.17 or Rudin p.17. For viewpoints on logic, Pugh p.10, Rudin p.ix, or Munkres p.30&lt;/ref&gt;<br /> <br /> ==== Dedekind cuts ====<br /> {{further|[[Dedekind cut]]}}<br /> <br /> In the [[Dedekind cut]] approach, each real number ''x'' is the infinite set of all rational numbers that are less than ''x''.&lt;ref&gt;Enderton (p.113) qualifies this description: &quot;The idea behind Dedekind cuts is that a real number ''x'' can be named by giving an infinite set of rationals, namely all the rationals less than ''x''. We will in effect define ''x'' to be the set of rationals smaller than ''x''. To avoid circularity in the definition, we must be able to characterize the sets of rationals obtainable in this way…&quot;&lt;/ref&gt; In particular, the real number 1 is the set of all rational numbers that are less than 1.&lt;ref&gt;Rudin pp.17–20, Richman p.399, or Enderton p.119. To be precise, Rudin, Richman, and Enderton call this cut 1*, 1&lt;sup&gt;&amp;minus;&lt;/sup&gt;, and 1&lt;sub&gt;''R''&lt;/sub&gt;, respectively; all three identify it with the traditional real number 1. Note that what Rudin and Enderton call a Dedekind cut, Richman calls a &quot;nonprincipal Dedekind cut&quot;.&lt;/ref&gt; Every positive decimal expansion easily determines a Dedekind cut: the set of rational numbers which are less than some stage of the expansion. So the real number 0.999… is the set of rational numbers ''r'' such that ''r'' &lt; 0, or ''r'' &lt; 0.9, or ''r'' &lt; 0.99, or ''r'' is less than some other number of the form &lt;math&gt;\begin{align}1-(\tfrac{1}{10})^n\end{align}&lt;/math&gt;.&lt;ref&gt;Richman p.399&lt;/ref&gt; Every element of 0.999… is less than 1, so it is an element of the real number 1. Conversely, an element of 1 is a rational number <br /> &lt;math&gt;\begin{align}\tfrac{a}{b}&lt;1\end{align}&lt;/math&gt;, which implies &lt;math&gt;\begin{align}\tfrac{a}{b}&lt;1-(\tfrac{1}{10})^b\end{align}&lt;/math&gt;. Since 0.999… and 1 contain the same rational numbers, they are the same set: 0.999… = 1.<br /> <br /> The definition of real numbers as Dedekind cuts was first published by [[Richard Dedekind]] in 1872.&lt;ref name=&quot;MacTutor2&quot;&gt;{{cite web |url=http://www-gap.dcs.st-and.ac.uk/~history/PrintHT/Real_numbers_2.html |title=History topic: The real numbers: Stevin to Hilbert |author=J J O'Connor and E F Robertson |work=MacTutor History of Mathematics |date=October 2005 |accessdate=2006-08-30}}&lt;/ref&gt;<br /> The above approach to assigning a real number to each decimal expansion is due to an expository paper titled &quot;Is 0.999 … = 1?&quot; by Fred Richman in ''[[Mathematics Magazine]]'', which is targeted at teachers of collegiate mathematics, especially at the junior/senior level, and their students.&lt;ref&gt;{{cite web |url=http://www.maa.org/pubs/mm-guide.html |title=Mathematics Magazine:Guidelines for Authors |publisher=[[The Mathematical Association of America]] |accessdate=2006-08-23}}&lt;/ref&gt; Richman notes that taking Dedekind cuts in any [[dense subset]] of the rational numbers yields the same results; in particular, he uses [[decimal fraction]]s, for which the proof is more immediate: &quot;So we see that in the traditional definition of the real numbers, the equation 0.9* = 1 is built in at the beginning.&quot;&lt;ref&gt;Richman pp.398–399&lt;/ref&gt; A further modification of the procedure leads to a different structure that Richman is more interested in describing; see &quot;[[#Different_answers_from_alternative_number_systems|Different answers from alternative number systems]]&quot; below.<br /> <br /> ==== Cauchy sequences ====<br /> {{further|[[Cauchy sequence]]}}<br /> <br /> Another approach to constructing the real numbers uses the ordering of rationals less directly. First, the distance between ''x'' and ''y'' is defined as the absolute value |''x''&amp;nbsp;&amp;minus;&amp;nbsp;''y''|, where the absolute value |''z''| is defined as the maximum of ''z'' and &amp;minus;''z'', thus never negative. Then the reals are defined to be the sequences of rationals that are [[Cauchy sequence|Cauchy]] using this distance. That is, in the sequence (''x''&lt;sub&gt;0&lt;/sub&gt;, ''x''&lt;sub&gt;1&lt;/sub&gt;, ''x''&lt;sub&gt;2&lt;/sub&gt;, …), a mapping from natural numbers to rationals, for any positive rational δ there is an ''N'' such that |''x''&lt;sub&gt;''m''&lt;/sub&gt;&amp;nbsp;&amp;minus;&amp;nbsp;''x''&lt;sub&gt;''n''&lt;/sub&gt;|&amp;nbsp;≤&amp;nbsp;δ for all ''m'', ''n''&amp;nbsp;&gt;&amp;nbsp;''N''. (The distance between terms becomes arbitrarily small.)&lt;ref&gt;Griffiths &amp; Hilton §24.2 &quot;Sequences&quot; p.386&lt;/ref&gt;<br /> <br /> If (''x''&lt;sub&gt;''n''&lt;/sub&gt;) and (''y''&lt;sub&gt;''n''&lt;/sub&gt;) are two Cauchy sequences, then they are defined to be equal as real numbers if the sequence (''x''&lt;sub&gt;''n''&lt;/sub&gt;&amp;nbsp;&amp;minus;&amp;nbsp;''y''&lt;sub&gt;''n''&lt;/sub&gt;) has the limit 0. Truncations of the decimal number ''b''&lt;sub&gt;0&lt;/sub&gt;.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… generate a sequence of rationals which is Cauchy; this is taken to define the real value of the number.&lt;ref&gt;Griffiths &amp; Hilton pp.388, 393&lt;/ref&gt; Thus in this formalism the task is to show that the sequence of rational numbers<br /> :&lt;math&gt;\left(1 - 0, 1 - {9 \over 10}, 1 - {99 \over 100}, \dots\right)<br /> = \left(1, {1 \over 10}, {1 \over 100}, \dots \right)&lt;/math&gt;<br /> <br /> has the limit 0. Considering the ''n''th term of the sequence, for ''n''=0,1,2,…, it must therefore be shown that<br /> :&lt;math&gt;\lim_{n\rightarrow\infty}\frac{1}{10^n} = 0.&lt;/math&gt;<br /> <br /> This limit is plain;&lt;ref&gt;Griffiths &amp; Hilton pp.395&lt;/ref&gt; one possible proof is that for ε = ''a''/''b'' &gt; 0 one can take ''N''&amp;nbsp;=&amp;nbsp;''b'' in the definition of the [[limit of a sequence]]. So again 0.999…&amp;nbsp;=&amp;nbsp;1.<br /> <br /> The definition of real numbers as Cauchy sequences was first published separately by [[Eduard Heine]] and [[Georg Cantor]], also in 1872.&lt;ref name=&quot;MacTutor2&quot; /&gt; The above approach to decimal expansions, including the proof that 0.999… = 1, closely follows Griffiths &amp; Hilton's 1970 work ''A comprehensive textbook of classical mathematics: A contemporary interpretation''. The book is written specifically to offer a second look at familiar concepts in a contemporary light.&lt;ref&gt;Griffiths &amp; Hilton pp.viii, 395&lt;/ref&gt;<br /> <br /> ===Generalizations===<br /> Proofs that 0.999… = 1 immediately generalize in two ways. First, every nonzero number with a finite decimal notation (equivalently, endless trailing 0s) has a counterpart with trailing 9s. For example, 0.24999… equals 0.25, exactly as in the special case considered. These numbers are exactly the decimal fractions, and they are dense.&lt;ref&gt;Petkovšek p.408&lt;/ref&gt;<br /> <br /> Second, a comparable theorem applies in each radix or [[base (mathematics)|base]]. For example, in base 2 (the [[binary numeral system]]) 0.111… equals 1, and in base 3 (the [[ternary numeral system]]) 0.222… equals 1. Textbooks of real analysis are likely to skip the example of 0.999… and present one or both of these generalizations from the start.&lt;ref&gt;Protter and Morrey p.503; Bartle and Sherbert p.61&lt;/ref&gt;<br /> <br /> Alternative representations of 1 also occur in non-integer bases. For example, in the [[golden ratio base]], the two standard representations are 1.000… and 0.101010…, and there are infinitely many more representations that include adjacent 1s. Generally, for [[almost all]] ''q'' between 1 and 2, there are uncountably many base-''q'' expansions of 1. On the other hand, there are still uncountably many ''q'' (including all natural numbers greater than 1) for which there is only one base-''q'' expansion of 1, other than the trivial 1.000…. This result was first obtained by [[Paul Erdős]], Miklos Horváth, and István Joó around 1990. In 1998 Vilmos Komornik and Paola Loreti determined the smallest such base, ''q'' = 1.787231650…. In this base, 1 = 0.11010011001011010010110011010011…; the digits are given by the [[Thue-Morse sequence]], which does not repeat.&lt;ref&gt;Komornik and Loreti p.636&lt;/ref&gt;<br /> <br /> A more far-reaching generalization addresses [[non-standard positional numeral systems|the most general positional numeral systems]]. They too have multiple representations, and in some sense the difficulties are even worse. For example:&lt;ref&gt;Kempner p.611; Petkovšek p.409&lt;/ref&gt;<br /> *In the [[balanced ternary]] system, &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;2&lt;/sub&gt; = 0.111… = 1.&lt;u&gt;111&lt;/u&gt;….<br /> *In the [[factoradic]] system, 1 = 1.000… = 0.1234….<br /> Marko Petkovšek has proved that such ambiguities are necessary consequences of using a positional system: for any system that names all the real numbers, the set of reals with multiple representations is always dense. He calls the proof &quot;an instructive exercise in elementary [[point-set topology]]&quot;; it involves viewing sets of positional values as [[Stone space]]s and noticing that their real representations are given by [[continuous function (topology)|continuous functions]].&lt;ref&gt;Petkovšek pp.410–411&lt;/ref&gt;<br /> <br /> ==Applications==<br /> One application of 0.999… as a representation of 1 occurs in [[elementary number theory]]. In 1802, H. Goodwin published an observation on the appearance of 9s in the repeating-decimal representations of fractions whose denominators are certain [[prime number]]s. Examples include:<br /> *&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;7&lt;/sub&gt; = 0.142857142857… and 142 + 857 = 999.<br /> *&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;73&lt;/sub&gt; = 0.0136986301369863… and 0136 + 9863 = 9999.<br /> E. Midy proved a general result about such fractions, now called ''[[Midy's Theorem]]'', in 1836. The publication was obscure, and it is unclear if his proof directly involved 0.999…, but at least one modern proof by W. G. Leavitt does. If one can prove that a decimal of the form 0.''b''&lt;sub&gt;1&lt;/sub&gt;''b''&lt;sub&gt;2&lt;/sub&gt;''b''&lt;sub&gt;3&lt;/sub&gt;… is a positive integer, then it must be 0.999…, which is then the source of the 9s in the theorem.&lt;ref&gt;Leavitt 1984 p.301&lt;/ref&gt; Investigations in this direction can motivate such concepts as [[greatest common divisor]]s, [[modular arithmetic]], [[Fermat prime]]s, [[order (group theory)|order]] of [[group (mathematics)|group]] elements, and [[quadratic reciprocity]].&lt;ref&gt;Lewittes pp.1–3; Leavitt 1967 pp.669,673; Shrader-Frechette pp.96–98&lt;/ref&gt;<br /> <br /> [[Image:Cantor base 3.svg|right|thumb|Positions of &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;4&lt;/sub&gt;, &lt;sup&gt;2&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt;, and 1 in the Cantor set]]<br /> Returning to real analysis, the base-3 analogue 0.222… = 1 plays a key role in a characterization of one of the simplest [[fractal]]s, the middle-thirds [[Cantor set]]:<br /> *A point in the [[unit interval]] lies in the Cantor set if and only if it can be represented in ternary using only the digits 0 and 2.<br /> <br /> The ''n''th digit of the representation reflects the position of the point in the ''n''th stage of the construction. For example, the point &lt;sup&gt;2&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; is given the usual representation of 0.2 or 0.2000…, since it lies to the right of the first deletion and to the left of every deletion thereafter. The point &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt; is represented not as 0.1 but as 0.0222…, since it lies to the left of the first deletion and to the right of every deletion thereafter.&lt;ref&gt;Pugh p.97; Alligood, Sauer, and Yorke pp.150–152. Protter and Morrey (p.507) and Pedrick (p.29) assign this description as an exercise.&lt;/ref&gt;<br /> <br /> Repeating nines also turn up in yet another of Georg Cantor's works. They must be taken into account to construct a valid proof, applying [[Cantor's diagonal argument|his 1891 diagonal argument]] to decimal expansions, of the [[uncountability]] of the unit interval. Such a proof needs to be able to declare certain pairs of real numbers to be different based on their decimal expansions, so one needs to avoid pairs like 0.2 and 0.1999… . A simple method represents all numbers with nonterminating expansions; the opposite method rules out repeating nines.&lt;ref&gt;Maor (p.60) and Mankiewicz (p.151) review the former method; Mankiewicz attributes it to Cantor, but the primary source is unclear. Munkres (p.50) mentions the latter method.&lt;/ref&gt; A variant that may be closer to Cantor's original argument actually uses base 2, and by turning base-3 expansions into base-2 expansions, one can prove the uncountability of the Cantor set as well.&lt;ref&gt;Rudin p.50, Pugh p.98&lt;/ref&gt;<br /> <br /> == In popular culture ==<br /> <br /> With the rise of the [[Internet]], debates about 0.999… have escaped the classroom and are commonplace on [[newsgroup]]s and [[message board]]s, including many that nominally have little to do with mathematics. In the newsgroup &lt;tt&gt;[news:sci.math sci.math]&lt;/tt&gt;, arguing over 0.999… is a &quot;popular sport&quot;, and it is one of the questions answered in its [[FAQ]].&lt;ref&gt;As observed by Richman (p.396). {{cite web |url=http://www.faqs.org/faqs/sci-math-faq/specialnumbers/0.999eq1/ |author=Hans de Vreught | year=1994 | title=sci.math FAQ: Why is 0.9999… = 1? |accessdate=2006-06-29}}&lt;/ref&gt; The FAQ briefly covers ⅓, multiplication by 10, and limits, and it alludes to Cauchy sequences as well.<br /> <br /> A 2003 edition of the general-interest [[newspaper column]] ''[[The Straight Dope]]'' discusses 0.999… via ⅓ and limits, saying of misconceptions,<br /> &lt;blockquote&gt;<br /> &lt;P&gt;The lower primate in us still resists, saying: .999~ doesn't really represent a ''number'', then, but a ''process''. To find a number we have to halt the process, at which point the .999~ = 1 thing falls apart.&lt;/p&gt;<br /> <br /> &lt;p&gt;Nonsense.&lt;ref&gt;{{cite web |url=http://www.straightdope.com/columns/030711.html |title=An infinite question: Why doesn't .999~ = 1? |date=2003-07-11 |author=[[Cecil Adams]] |work=[[The Straight Dope]] |publisher=[[The Chicago Reader]] |accessdate=2006-09-06}}&lt;/ref&gt;&lt;/p&gt;<br /> &lt;/blockquote&gt;<br /> <br /> ''The Straight Dope'' cites a discussion on its own message board that grew out of an unidentified &quot;other message board … mostly about video games&quot;. In the same vein, the question of 0.999… proved such a popular topic in the first seven years of [[Blizzard Entertainment]]'s [[Battle.net]] forums that the company's president, [[Mike Morhaime]], announced at a [[press conference]] on [[April 1]] [[2004]] that it is 1:<br /> &lt;blockquote&gt;<br /> We are very excited to close the book on this subject once and for all. We've witnessed the heartache and concern over whether .999~ does or does not equal 1, and we're proud that the following proof finally and conclusively addresses the issue for our customers.&lt;ref&gt;{{cite web |url=http://www.blizzard.com/press/040401.shtml |title=Blizzard Entertainment® Announces .999~ (Repeating) = 1 |work=Press Release |publisher=Blizzard Entertainment |date=2004-04-01 |accessdate=2006-09-03}}&lt;/ref&gt;<br /> &lt;/blockquote&gt;<br /> Blizzard's subsequent press release offers two proofs, based on limits and multiplication by 10.<br /> <br /> == Different answers from alternative number systems == <br /> Although the real numbers form an extremely useful number system, the decision to interpret the phrase &quot;0.999…&quot; as naming a real number is ultimately a convention, and Timothy Gowers argues in ''Mathematics: A Very Short Introduction'' that the resulting identity 0.999… = 1 is a convention as well:<br /> &lt;blockquote&gt;<br /> However, it is by no means an arbitrary convention, because not adopting it forces one either to invent strange new objects or to abandon some of the familiar rules of arithmetic.&lt;ref&gt;Gowers p.60&lt;/ref&gt;<br /> &lt;/blockquote&gt;<br /> One can define other number systems using different rules or new objects; in some such number systems, the above proofs would need to be reinterpreted and one might find that, in a given number system, 0.999… and 1 might not be identical. However, many number systems are extensions of &amp;mdash; rather than independent alternatives to &amp;mdash; the real number system, so 0.999… = 1 continues to hold. Even in such number systems, though, it is worthwhile to examine alternative number systems, not only for how 0.999… behaves (if, indeed, a number expressed as &quot;0.999…&quot; is both meaningful and unambiguous), but also for the behavior of related phenomena. If such phenomena differ from those in the real number system, then at least one of the assumptions built into the system must break down.<br /> <br /> ===Infinitesimals===<br /> {{main|Infinitesimal}}<br /> <br /> Some proofs that 0.999… = 1 rely on the [[Archimedean property]] of the standard real numbers: there are no nonzero [[infinitesimal]]s. There are mathematically coherent ordered [[algebraic structure]]s, including various alternatives to standard reals, which are non-Archimedean. The meaning of 0.999… depends on which structure we use. For example, the [[dual number]]s include a new infinitesimal element ε, analogous to the imaginary unit ''i'' in the [[complex number]]s except that ε&lt;sup&gt;2&lt;/sup&gt;&amp;nbsp;=&amp;nbsp;0. The resulting structure is useful in [[automatic differentiation]]. The dual numbers can be given a [[lexicographic order]], in which case the multiples of ε become non-Archimedean elements.&lt;ref&gt;Berz 439–442&lt;/ref&gt; Note, however, that, as an extension of the real numbers, the dual numbers still have 0.999…=1. On a related note, while ε exists in dual numbers, so does ε/2, so ε is not &quot;the smallest positive dual number,&quot; and, indeed, as in the reals, no such number exists.<br /> <br /> Another way to construct alternatives to standard reals is to use [[topos]] theory and alternative logics rather than [[set theory]] and classical logic (which is a special case). For example, [[smooth infinitesimal analysis]] has infinitesimals with no [[Multiplicative inverse|reciprocal]]s.&lt;ref&gt;{{cite paper|url=http://publish.uwo.ca/~jbell/invitation%20to%20SIA.pdf|title=An Invitation to Smooth Infinitesimal Analysis|author=John L. Bell |year=2003 |format=PDF |accessdate=2006-06-29}}&lt;/ref&gt;<br /> <br /> [[Non-standard analysis]] is well-known for including a number system with a full array of infinitesimals (and their inverses) which provide a different, and perhaps more intuitive, approach to [[calculus]].&lt;ref&gt;For a full treatment of non-standard numbers see for example Robinson's ''Non-standard Analysis''.&lt;/ref&gt; A.H. Lightstone provided a development of non-standard decimal expansions in 1972 in which every extended real number in (0, 1) has a unique extended decimal expansion: a sequence of digits 0.ddd…;…ddd… indexed by the extended natural numbers. In his formalism, there are two natural extensions of 0.333…, neither of which falls short of &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt; by an infinitesimal:<br /> :0.333…;…000… does not exist, while<br /> :0.333…;…333…&amp;nbsp;=&amp;nbsp;&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt; exactly.&lt;ref&gt;Lightstone pp.245–247. He does not explore the possibility repeating 9s in the standard part of an expansion.&lt;/ref&gt;<br /> <br /> [[Combinatorial game theory]] provides alternative reals as well, with infinite Blue-Red [[Hackenbush]] as one particularly relevant example. In 1974, [[Elwyn Berlekamp]] described a correspondence between Hackenbush strings and binary expansions of real numbers, motivated by the idea of [[data compression]]. For example, the value of the Hackenbush string LRRLRLRL… is 0.010101…&amp;nbsp;=&amp;nbsp;&lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt;. However, the value of LRLLL… (corresponding to 0.111…) is infinitesimally less than 1. The difference between the two is the [[surreal number]] &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;ω&lt;/sub&gt;, where ω is the first [[ordinal number|infinite ordinal]]; the relevant game is LRRRR… or 0.000….&lt;ref&gt;Berlekamp, Conway, and Guy (pp.79–80, 307–311) discuss 1 and &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;3&lt;/sub&gt; and touch on &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;ω&lt;/sub&gt;. The game for 0.111… follows directly from Berlekamp's Rule, and it is discussed by {{cite web |url=http://www.maths.nott.ac.uk/personal/anw/Research/Hack/ |title=Hackenstrings and the 0.999… ≟ 1 FAQ |author=A. N. Walker |year=1999 |accessdate=2006-06-29}}&lt;/ref&gt;<br /> <br /> ===Breaking subtraction===<br /> Another manner in which the proofs might be undermined is if 1&amp;nbsp;&amp;minus;&amp;nbsp;0.999… simply does not exist, because subtraction is not always possible. Mathematical structures with an addition operation but not a subtraction operation include [[commutative]] [[semigroup]]s, [[commutative monoid]]s and [[semiring]]s. Richman considers two such systems, designed so that 0.999… &lt; 1.<br /> <br /> First, Richman defines a nonnegative ''decimal number'' to be a literal decimal expansion. He defines the [[lexicographical order]] and an addition operation, noting that 0.999…&amp;nbsp;&amp;lt;&amp;nbsp;1 simply because 0&amp;nbsp;&amp;lt;&amp;nbsp;1 in the ones place, but for any nonterminating ''x'', one has 0.999…&amp;nbsp;+&amp;nbsp;''x''&amp;nbsp;=&amp;nbsp;1&amp;nbsp;+&amp;nbsp;''x''. So one peculiarity of the decimal numbers is that addition cannot always be cancelled; another is that no decimal number corresponds to &lt;sup&gt;1&lt;/sup&gt;⁄&lt;sub&gt;3&lt;/sub&gt;. After defining multiplication, the decimal numbers form a positive, totally ordered, commutative semiring.&lt;ref&gt;Richman pp.397–399&lt;/ref&gt;<br /> <br /> In the process of defining multiplication, Richman also defines another system he calls &quot;cut ''D''&quot;, which is the set of Dedekind cuts of decimal fractions. Ordinarily this definition leads to the real numbers, but for a decimal fraction ''d'' he allows both the cut (&amp;minus;∞,&amp;nbsp;''d''&amp;nbsp;) and the &quot;principal cut&quot; (&amp;minus;∞,&amp;nbsp;''d''&amp;nbsp;]. The result is that the real numbers are &quot;living uneasily together with&quot; the decimal fractions. Again 0.999…&amp;nbsp;&lt;&amp;nbsp;1. There are no positive infinitesimals in cut ''D'', but there is &quot;a sort of negative infinitesimal,&quot; 0&lt;sup&gt;&amp;minus;&lt;/sup&gt;, which has no decimal expansion. He concludes that 0.999…&amp;nbsp;=&amp;nbsp;1&amp;nbsp;+&amp;nbsp;0&lt;sup&gt;&amp;minus;&lt;/sup&gt;, while the equation &quot;0.999… + ''x'' = 1&quot;<br /> has no solution.&lt;ref&gt;Richman pp.398–400. Rudin (p.23) assigns this alternative construction (but over the rationals) as the last exercise of Chapter 1.&lt;/ref&gt;<br /> <br /> ===''p''-adic numbers===<br /> {{main|p-adic number}}<br /> <br /> When asked about 0.999…, novices often believe there should be a &quot;final 9,&quot; believing 1&amp;nbsp;&amp;minus;&amp;nbsp;0.999… to be a positive number many term &quot;0.000…1&quot;. Whether or not that makes sense, the intuitive goal is clear: adding a 1 to the last 9 in 0.999… would carry all the 9s into 0s and leave a 1 in the ones place. Among other reasons, this idea fails because there is no &quot;last 9&quot; in 0.999….&lt;ref&gt;Gardiner p.98; Gowers p.60&lt;/ref&gt; For an infinite string of 9s including a last 9, one must look elsewhere.<br /> <br /> [[Image:4adic 333.svg|right|thumb|200px|The 4-adic integers (black points), including the sequence (3, 33, 333, …) converging to &amp;minus;1. The 10-adic analogue is …999 = &amp;minus;1.]]<br /> The [[p-adic number|''p''-adic number]]s are an alternative number system of interest in [[number theory]]. Like the real numbers, the ''p''-adic numbers can be built from the rational numbers via [[Cauchy sequence]]s; the construction uses a different metric in which 0 is closer to ''p'', and much closer to ''p&lt;sup&gt;n&lt;/sup&gt;'', than it is to 1 . The ''p''-adic numbers form a field for prime ''p'' and a [[ring (mathematics)|ring]] for other ''p'', including 10. So arithmetic can be performed in the ''p''-adics, and there are no infinitesimals.<br /> <br /> In the 10-adic numbers, the analogues of decimal expansions run to the left. The 10-adic expansion …999 does have a last 9, and it does not have a first 9. One can add 1 to the ones place, and it leaves behind only 0s after carrying through: 1&amp;nbsp;+&amp;nbsp;…999&amp;nbsp;=&amp;nbsp;…000&amp;nbsp;=&amp;nbsp;0, and so …999&amp;nbsp;=&amp;nbsp;&amp;minus;1.&lt;ref name=&quot;Fjelstad11&quot;&gt;Fjelstad p.11&lt;/ref&gt; Another derivation uses a geometric series. The infinite series implied by &quot;…999&quot; does not converge in the real numbers, but it converges in the 10-adics, and so one can re-use the familiar formula:<br /> :&lt;math&gt;\ldots999 = 9 + 9(10) + 9(10)^2 + 9(10)^3 + \cdots = \frac{9}{1-10} = -1.&lt;/math&gt;&lt;ref&gt;Fjelstad pp.14–15&lt;/ref&gt;<br /> <br /> (Compare with the series [[#Infinite series and sequences|above]].) A third derivation was invented by a seventh-grader who was doubtful over her teacher's limiting argument that 0.999…&amp;nbsp;=&amp;nbsp;1 but was inspired to take the multiply-by-10 proof [[#Algebra proof|above]] in the opposite direction: if ''x''&amp;nbsp;=&amp;nbsp;…999 then 10''x''&amp;nbsp;=&amp;nbsp; …990, so 10''x''&amp;nbsp;=&amp;nbsp;''x''&amp;nbsp;&amp;minus;&amp;nbsp;9, hence ''x''&amp;nbsp;=&amp;nbsp;&amp;minus;1 again.&lt;ref name=&quot;Fjelstad11&quot; /&gt;<br /> <br /> As a final extension, since 0.999…&amp;nbsp;=&amp;nbsp;1 (in the reals) and …999&amp;nbsp;=&amp;nbsp;&amp;minus;1 (in the 10-adics), then by &quot;blind faith and unabashed juggling of symbols&quot;&lt;ref&gt;DeSua p.901&lt;/ref&gt; one may add the two equations and arrive at …999.999…&amp;nbsp;=&amp;nbsp;0. This equation does not make sense either as a 10-adic expansion or an ordinary decimal expansion, but it turns out to be meaningful and true if one develops a theory of &quot;double-decimals&quot; with eventually-repeating left ends to represent a familiar system: the real numbers.&lt;ref&gt;DeSua pp.902–903&lt;/ref&gt;<br /> <br /> == Related questions ==<br /> <br /> &lt;!--[[Intuitionism]] should be worked in somewhere and explained, not necessarily here.--&gt;<br /> *[[Zeno's paradoxes]], particularly the paradox of the runner, are reminiscent of the apparent paradox that 0.999… and 1 are equal. The runner paradox can be mathematically modelled and then, like 0.999…, resolved using a geometric series. However, it is not clear if this mathematical treatment addresses the underlying metaphysical issues Zeno was exploring.&lt;ref&gt;Wallace p.51, Maor p.17&lt;/ref&gt;<br /> *[[Division by zero]] occurs in some popular discussions of 0.999…, and it also stirs up contention. While most authors choose to define 0.999…, almost all modern treatments leave division by zero undefined, as it can be given no meaning in the standard real numbers. However, division by zero is defined in some other systems, such as [[complex analysis]], where the [[extended complex plane]], i.e. the [[Riemann sphere]], has point &quot;infinity&quot;. Here, it makes sense to define &lt;sup&gt;1&lt;/sup&gt;/&lt;sub&gt;0&lt;/sub&gt; to be infinity;&lt;ref&gt;See, for example, J.B. Conway's treatment of Möbius transformations, pp.47–57&lt;/ref&gt; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed.&lt;ref&gt;Maor p.54&lt;/ref&gt;<br /> *[[Negative zero]] is another redundant feature of many ways of writing numbers. In number systems, such as the real numbers, where &quot;0&quot; denotes the additive identity and is neither positive nor negative, the usual interpretation of &quot;&amp;minus;0&quot; is that it should denote the additive inverse of 0, which forces &amp;minus;0&amp;nbsp;=&amp;nbsp;0.&lt;ref&gt;Munkres p.34, Exercise 1(c)&lt;/ref&gt; Nonetheless, some scientific applications use separate positive and negative zeroes, as do some of the most common computer number systems (for example integers stored in the [[sign and magnitude]] or [[one's complement]] formats, or floating point numbers as specified by the [[IEEE floating-point standard]]).&lt;ref&gt;{{cite book |author=Kroemer, Herbert; Kittel, Charles |title=Thermal Physics |edition=2e |publisher=W. H. Freeman |year=1980 |id=ISBN 0-7167-1088-9 |pages=462}}&lt;/ref&gt;&lt;ref&gt;{{cite web |url=http://msdn.microsoft.com/library/en-us/csspec/html/vclrfcsharpspec_4_1_6.asp |title=Floating point types |work=[[Microsoft Developer Network|MSDN]] C# Language Specification |accessdate=2006-08-29}}&lt;/ref&gt;<br /> <br /> ==Notes==<br /> &lt;div class=&quot;references-2column&quot;&gt;<br /> &lt;!-- maintenance use:references-small --&gt;<br /> &lt;references /&gt;<br /> &lt;/div&gt;<br /> <br /> ==References==<br /> &lt;div class=&quot;references-small&quot; style=&quot;-moz-column-count: 2; column-count: 2;&quot;&gt;<br /> *{{cite book |author=Alligood, Sauer, and Yorke |year=1996 |title=Chaos: An introduction to dynamical systems |chapter=4.1 Cantor Sets |publisher=Springer |id=ISBN 0-387-94677-2}}<br /> *:This introductory textbook on dynamical systems is aimed at undergraduate and beginning graduate students. (p.ix)<br /> *{{cite book |last=Apostol |first=Tom M. |year=1974 |title=Mathematical analysis |edition=2e |publisher=Addison-Wesley |id=ISBN 0-201-00288-4}}<br /> *:A transition from calculus to advanced analysis, ''Mathematical analysis'' is intended to be &quot;honest, rigorous, up to date, and, at the same time, not too pedantic.&quot; (pref.) Apostol's development of the real numbers uses the least upper bound axiom and introduces infinite decimals two pages later. (pp.9–11)<br /> *{{cite book |author=Bartle, R.G. and D.R. Sherbert |year=1982 |title=Introduction to real analysis |publisher=Wiley |id=ISBN 0-471-05944-7}}<br /> *:This text aims to be &quot;an accessible, reasonably paced textbook that deals with the fundamental concepts and techniques of real analysis.&quot; Its development of the real numbers relies on the supremum axiom. (pp.vii-viii)<br /> *{{cite book |last=Beals |first=Richard |title=Analysis |year=2004 |publisher=Cambridge UP |id=ISBN 0-521-60047-2}}<br /> *{{cite book |author=[[Elwyn Berlekamp|Berlekamp, E.R.]]; [[John Horton Conway|J.H. Conway]]; and [[Richard K. Guy|R.K. Guy]] |year=1982 |title=[[Winning Ways for your Mathematical Plays]] |publisher=Academic Press |id=ISBN 0-12-091101-9}}<br /> *{{cite conference |last=Berz |first=Martin |title=Automatic differentiation as nonarchimedean analysis |year=1992 |booktitle=Computer Arithmetic and Enclosure Methods |publisher=Elsevier |pages=439–450 |url=http://citeseer.ist.psu.edu/berz92automatic.html}}<br /> *{{cite book |last=Bunch |first=Bryan H. |title=Mathematical fallacies and paradoxes |year=1982 |publisher=Van Nostrand Reinhold |id=ISBN 0-442-24905-5}}<br /> *:This book presents an analysis of paradoxes and fallacies as a tool for exploring its central topic, &quot;the rather tenuous relationship between mathematical reality and physical reality&quot;. It assumes first-year high-school algebra; further mathematics is developed in the book, including geometric series in Chapter 2. Although 0.999… is not one of the paradoxes to be fully treated, it is briefly mentioned during a development of Cantor's diagonal method. (pp.ix-xi, 119)<br /> *{{cite book |last=Burrell |first=Brian |title=Merriam-Webster's Guide to Everyday Math: A Home and Business Reference |year=1998 |publisher=Merriam-Webster |id=ISBN 0-87779-621-1}}<br /> *{{cite book |last=Conway |first=John B. |authorlink=John B. Conway |title=Functions of one complex variable I |edition=2e |publisher=Springer-Verlag |origyear=1973 |year=1978 |id=ISBN 0-387-90328-3}}<br /> *:This text assumes &quot;a stiff course in basic calculus&quot; as a prerequisite; its stated principles are to present complex analysis as &quot;An Introduction to Mathematics&quot; and to state the material clearly and precisely. (p.vii)<br /> *{{cite book |last=Davies |first=Charles |year=1846 |title=The University Arithmetic: Embracing the Science of Numbers, and Their Numerous Applications |publisher=A.S. Barnes |url=http://books.google.com/books?vid=LCCN02026287&amp;pg=PA175}}<br /> *{{cite journal |last=DeSua |first=Frank C. |title=A system isomorphic to the reals |format=restricted access |journal=The American Mathematical Monthly |volume=67 |number=9 |month=November |year=1960 |pages=900–903 |url=http://links.jstor.org/sici?sici=0002-9890%28196011%2967%3A9%3C900%3AASITTR%3E2.0.CO%3B2-F}}<br /> *{{cite journal |author=Dubinsky, Ed, Kirk Weller, Michael McDonald, and Anne Brown |title=Some historical issues and paradoxes regarding the concept of infinity: an APOS analysis: part 2 |journal=Educational Studies in Mathematics |year=2005 |volume=60 |pages=253–266 |id={{doi|10.1007/s10649-005-0473-0}}}}<br /> *{{cite journal |author=Edwards, Barbara and Michael Ward |year=2004 |month=May |title=Surprises from mathematics education research: Student (mis)use of mathematical definitions |journal=The American Mathematical Monthly |volume=111 |number=5 |pages=411–425 |url=http://www.wou.edu/~wardm/FromMonthlyMay2004.pdf}}<br /> *{{cite book |last=Enderton |first=Herbert B. |year=1977 |title=Elements of set theory |publisher=Elsevier |id=ISBN 0-12-238440-7}}<br /> *:An introductory undergraduate textbook in set theory that &quot;presupposes no specific background&quot;. It is written to accommodate a course focusing on axiomatic set theory or on the construction of number systems; the axiomatic material is marked such that it may be de-emphasized. (pp.xi-xii)<br /> *{{cite book |last=Euler |first=Leonhard |authorlink=Leonhard Euler |origyear=1770 |year=1822 |edition=3rd English edition |title=Elements of Algebra |editor=John Hewlett and Francis Horner, English translators. |publisher=Orme Longman |url=http://books.google.com/books?id=X8yv0sj4_1YC&amp;pg=PA170}}<br /> *{{cite journal |last=Fjelstad |first=Paul |title=The repeating integer paradox |format=restricted access |journal=The College Mathematics Journal |volume=26 |number=1 |month=January |year=1995 |pages=11–15 |url=http://links.jstor.org/sici?sici=0746-8342%28199501%2926%3A1%3C11%3ATRIP%3E2.0.CO%3B2-X |id={{doi|10.2307/2687285}}}}<br /> *{{cite book |last=Gardiner |first=Anthony |title=Understanding Infinity: The Mathematics of Infinite Processes |origyear=1982 |year=2003 |publisher=Dover |id=ISBN 0-486-42538-X}}<br /> *{{cite book |last=Gowers |first=Timothy|authorlink= William Timothy Gowers|title=Mathematics: A Very Short Introduction |year=2002 |publisher=Oxford UP |id=ISBN 0-19-285361-9}}<br /> *{{cite book |last=Grattan-Guinness |first=Ivor |year=1970 |title=The development of the foundations of mathematical analysis from Euler to Riemann |publisher=MIT Press |id=ISBN 0-262-07034-0}}<br /> *{{cite book | last=Griffiths | first=H.B. | coauthors=P.J. Hilton | title=A Comprehensive Textbook of Classical Mathematics: A Contemporary Interpretation | year=1970 | publisher=Van Nostrand Reinhold | location=London | id=ISBN 0-442-02863-6. {{LCC|QA37.2|G75}}}}<br /> *:This book grew out of a course for [[Birmingham]]-area [[grammar school]] mathematics teachers. The course was intended to convey a university-level perspective on [[mathematics education|school mathematics]], and the book is aimed at students &quot;who have reached roughly the level of completing one year of specialist mathematical study at a university&quot;. The real numbers are constructed in Chapter 24, &quot;perhaps the most difficult chapter in the entire book&quot;, although the authors ascribe much of the difficulty to their use of [[ideal theory]], which is not reproduced here. (pp.vii, xiv)<br /> *{{cite journal |last=Kempner |first=A.J. |title=Anormal Systems of Numeration |format=restricted access |journal=The American Mathematical Monthly |volume=43 |number=10 |month=December |year=1936 |pages=610–617 |url=http://links.jstor.org/sici?sici=0002-9890%28193612%2943%3A10%3C610%3AASON%3E2.0.CO%3B2-0}}<br /> *{{cite journal |author=Komornik, Vilmos; and Paola Loreti |title=Unique Developments in Non-Integer Bases |format=restricted access |journal=The American Mathematical Monthly |volume=105 |number=7 |year=1998 |pages=636–639 |url=http://links.jstor.org/sici?sici=0002-9890%28199808%2F09%29105%3A7%3C636%3AUDINB%3E2.0.CO%3B2-G}}<br /> *{{cite journal |last=Leavitt |first=W.G. |title=A Theorem on Repeating Decimals |format=restricted access |journal=The American Mathematical Monthly |volume=74 |number=6 |year=1967 |pages=669–673 |url=http://links.jstor.org/sici?sici=0002-9890%28196706%2F07%2974%3A6%3C669%3AATORD%3E2.0.CO%3B2-0}}<br /> *{{cite journal |last=Leavitt |first=W.G. |title=Repeating Decimals |format=restricted access |journal=The College Mathematics Journal |volume=15 |number=4 |month=September |year=1984 |pages=299–308 |url=http://links.jstor.org/sici?sici=0746-8342%28198409%2915%3A4%3C299%3ARD%3E2.0.CO%3B2-D}}<br /> *{{cite web | url=http://arxiv.org/abs/math.NT/0605182 |title=Midy's Theorem for Periodic Decimals |last=Lewittes |first=Joseph |work=New York Number Theory Workshop on Combinatorial and Additive Number Theory |year=2006 |publisher=[[arXiv]]}}<br /> *{{cite journal |last=Lightstone |first=A.H. |title=Infinitesimals |format=restricted access |journal=The American Mathematical Monthly |year=1972 |volume=79 |number=3 |month=March |pages=242–251 |url=http://links.jstor.org/sici?sici=0002-9890%28197203%2979%3A3%3C242%3AI%3E2.0.CO%3B2-F}}<br /> *{{cite book |last=Mankiewicz |first=Richard |year=2000 |title=The story of mathematics|publisher=Cassell |id=ISBN 0-304-35473-2}}<br /> *:Mankiewicz seeks to represent &quot;the history of mathematics in an accessible style&quot; by combining visual and qualitative aspects of mathematics, mathematicians' writings, and historical sketches. (p.8)<br /> *{{cite book |last=Maor |first=Eli |title=To infinity and beyond: a cultural history of the infinite |year=1987 |publisher=Birkhäuser |id=ISBN 3-7643-3325-1}}<br /> *:A topical rather than chronological review of infinity, this book is &quot;intended for the general reader&quot; but &quot;told from the point of view of a mathematician&quot;. On the dilemma of rigor versus readable language, Maor comments, &quot;I hope I have succeeded in properly addressing this problem.&quot; (pp.x-xiii)<br /> *{{cite book |last=Mazur |first=Joseph |title=Euclid in the Rainforest: Discovering Universal Truths in Logic and Math |year=2005 |publisher=Pearson: Pi Press |id=ISBN 0-13-147994-6}}<br /> *{{cite book |last=Munkres |first=James R. |title=Topology |year=2000 |origyear=1975 |edition=2e |publisher=Prentice-Hall |id=ISBN 0-13-181629-2}}<br /> *:Intended as an introduction &quot;at the senior or first-year graduate level&quot; with no formal prerequisites: &quot;I do not even assume the reader knows much set theory.&quot; (p.xi) Munkres' treatment of the reals is axiomatic; he claims of bare-hands constructions, &quot;This way of approaching the subject takes a good deal of time and effort and is of greater logical than mathematical interest.&quot; (p.30)<br /> *{{cite book |last=Pedrick |first=George |title=A First Course in Analysis |year=1994 |publisher=Springer |id=ISBN 0-387-94108-8}}<br /> *{{cite journal |last=Petkovšek |first=Marko |title=Ambiguous Numbers are Dense |format=restricted access |journal=[[The American Mathematical Monthly|American Mathematical Monthly]] |volume=97 |number=5 |month=May |year=1990 |pages=408–411 |url=http://links.jstor.org/sici?sici=0002-9890%28199005%2997%3A5%3C408%3AANAD%3E2.0.CO%3B2-Q}}<br /> *{{cite conference |author=Pinto, Márcia and David Tall |title=Following students' development in a traditional university analysis course |booktitle=PME25 |pages=v4: 57–64 |year=2001 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot2001j-pme25-pinto-tall.pdf}}<br /> *{{cite book |author=Protter, M.H. and C.B. Morrey |year=1991 |edition=2e |title=A first course in real analysis |publisher=Springer |id=ISBN 0-387-97437-7}}<br /> *:This book aims to &quot;present a theoretical foundation of analysis that is suitable for students who have completed a standard course in calculus.&quot; (p.vii) At the end of Chapter 2, the authors assume as an axiom for the real numbers that bounded, nodecreasing sequences converge, later proving the nested intervals theorem and the least upper bound property. (pp.56–64) Decimal expansions appear in Appendix 3, &quot;Expansions of real numbers in any base&quot;. (pp.503–507)<br /> *{{cite book |last=Pugh |first=Charles Chapman |title=Real mathematical analysis |year=2001 |publisher=Springer-Verlag |id=ISBN 0-387-95297-7}}<br /> *:While assuming familiarity with the rational numbers, Pugh introduces Dedekind cuts as soon as possible, saying of the axiomatic treatment, &quot;This is something of a fraud, considering that the entire structure of analysis is built on the real number system.&quot; (p.10) After proving the least upper bound property and some allied facts, cuts are not used in the rest of the book.<br /> *{{cite journal |first=Fred |last=Richman |year=1999 |month=December |title=Is 0.999… = 1? |format=restricted access |journal=[[Mathematics Magazine]] |volume=72 |issue=5 |pages=396–400 |url=http://links.jstor.org/sici?sici=0025-570X%28199912%2972%3A5%3C396%3AI0.%3D1%3E2.0.CO%3B2-F}} Free HTML preprint: {{cite web |url=http://www.math.fau.edu/Richman/HTML/999.htm |first=Fred|last=Richman|title=Is 0.999… = 1? |date=1999-06-08 |accessdate=2006-08-23}} Note: the journal article contains material and wording not found in the preprint.<br /> *{{cite book |last=Robinson |first=Abraham |authorlink=Abraham Robinson |title=Non-standard analysis |year=1996 |edition=Revised edition |publisher=Princeton University Press|id=ISBN 0-691-04490-2}}<br /> *{{cite book |last=Rosenlicht |first=Maxwell |year=1985 |title=Introduction to Analysis |publisher=Dover |id=ISBN 0-486-65038-3}}<br /> *{{cite book |last=Rudin |first=Walter |authorlink=Walter Rudin |title=Principles of mathematical analysis |edition=3e |year=1976 |origyear=1953 |publisher=McGraw-Hill |id=ISBN 0-07-054235-X}}<br /> *:A textbook for an advanced undergraduate course. &quot;Experience has convinced me that it is pedagogically unsound (though logically correct) to start off with the construction of the real numbers from the rational ones. At the beginning, most students simply fail to appreciate the need for doing this. Accordingly, the real number system is introduced as an ordered field with the least-upper-bound property, and a few interesting applications of this property are quickly made. However, Dedekind's construction is not omitted. It is now in an Appendix to Chapter 1, where it may be studied and enjoyed whenever the time is ripe.&quot; (p.ix)<br /> *{{cite journal |last=Shrader-Frechette |first=Maurice |title=Complementary Rational Numbers |format=restricted access |journal=Mathematics Magazine |volume=51 |number=2 |month=March |year=1978 |pages=90–98 |url=http://links.jstor.org/sici?sici=0025-570X%28197803%2951%3A2%3C90%3ACRN%3E2.0.CO%3B2-O}}<br /> *{{cite book |author=Smith, Charles and Charles Harrington |year=1895 |title=Arithmetic for Schools |publisher=Macmillan |url=http://books.google.com/books?vid=LCCN02029670&amp;pg=PA115}}<br /> *{{cite book |last=Sohrab |first=Houshang |title=Basic Real Analysis |year=2003 |publisher=Birkhäuser |id=ISBN 0-8176-4211-0}}<br /> *{{cite book |last=Stewart |first=Ian |title=The Foundations of Mathematics |year=1977 |publisher=Oxford UP |id=ISBN 0-19-853165-6}}<br /> *{{cite book |last=Stewart |first=James |title=Calculus: Early transcendentals |edition=4e |year=1999 |publisher=Brooks/Cole |id=ISBN 0-534-36298-2}}<br /> *:This book aims to &quot;assist students in discovering calculus&quot; and &quot;to foster conceptual understanding&quot;. (p.v) It omits proofs of the foundations of calculus.<br /> *{{cite journal |author=D.O. Tall and R.L.E. Schwarzenberger |title=Conflicts in the Learning of Real Numbers and Limits |journal=Mathematics Teaching |year=1978 |volume=82 |pages=44–49 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot1978c-with-rolph.pdf}}<br /> *{{cite journal |last=Tall |first=David |authorlink=David Tall |title=Conflicts and Catastrophes in the Learning of Mathematics |journal=Mathematical Education for Teaching |year=1976/7 |volume=2 |number=4 |pages=2–18 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot1976a-confl-catastrophy.pdf}} <br /> *{{cite journal |last=Tall |first=David |title=Cognitive Development In Advanced Mathematics Using Technology |journal=Mathematics Education Research Journal |year=2000 |volume=12 |number=3 |pages=210–230 |url=http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot2001b-merj-amt.pdf}}<br /> *{{cite book|last=von Mangoldt|first=Dr. Hans|authorlink =Hans Carl Friedrich von Mangoldt| title=Einführung in die höhere Mathematik|edition=1st ed.|year=1911|publisher=Verlag von S. Hirzel| location=Leipzig|language=German|chapter=Reihenzahlen}}<br /> *{{cite book |last=Wallace |first=David Foster|authorlink =David Foster Wallace |title=Everything and more: a compact history of infinity |year=2003 |publisher=Norton |id=ISBN 0-393-00338-8}}<br /> &lt;/div&gt;<br /> <br /> == See also ==<br /> * [[Decimal representation]]<br /> * [[Infinity]]<br /> * [[Limit (mathematics)]]<br /> * [[Naive mathematics]]<br /> * [[Non-standard analysis]]<br /> * [[Real analysis]]<br /> * [[Series (mathematics)]]<br /> <br /> == External links==<br /> {{Spoken Wikipedia|0.999....ogg|2006-10-19}}<br /> {{commons|0.999...}} <br /> *[http://www.cut-the-knot.org/arithmetic/999999.shtml .999999… = 1?] from [[cut-the-knot]]<br /> *[http://mathforum.org/dr.math/faq/faq.0.9999.html Why does 0.9999… = 1 ?]<br /> *[http://www.newton.dep.anl.gov/askasci/math99/math99167.htm Ask A Scientist: Repeating Decimals]<br /> *[http://mathcentral.uregina.ca/QQ/database/QQ.09.00/joan2.html Proof of the equality based on arithmetic]<br /> *[http://descmath.com/diag/nines.html Repeating Nines]<br /> &lt;!-- *[http://www.steve.bush.org/links/humor/pg001185.html Mathematical Gazette joke] --&gt;*[http://qntm.org/pointnine Point nine recurring equals one]<br /> *[http://www.warwick.ac.uk/staff/David.Tall/themes/limits-infinity.html David Tall's research on mathematics cognition]<br /> <br /> {{featured article}}<br /> <br /> [[be-x-old:0,(9)]]<br /> [[Category:Mathematics paradoxes]]<br /> [[Category:Real analysis]]<br /> [[Category:Real numbers]]<br /> [[Category:Numeration]]<br /> [[Category:Articles containing proofs]]<br /> <br /> {{Link FA|ja}}<br /> [[be:0,(9)]]<br /> [[de:Eins]]<br /> [[el:0,999...]]<br /> [[es:0,9 periódico]]<br /> [[fr:Développement décimal de l'unité]]<br /> [[he:0.999...]]<br /> [[ka:0.999...]]<br /> [[ja:0.999...]]<br /> [[nov:0.999...]]<br /> [[pl:0,(9)]]<br /> [[pt:0,999...]]<br /> [[ro:0,(9)]]<br /> [[ru:0,(9)]]<br /> [[sl:0,999...]]<br /> [[fi:0,999...]]<br /> [[sv:0,999...]]<br /> [[th:การพิสูจน์ว่า 0.999... เท่ากับ 1]]<br /> [[zh:证明0.999...等于1]]</div> Repku https://de.wikipedia.org/w/index.php?title=Liste_ungew%C3%B6hnlicher_Todesf%C3%A4lle&diff=137061715 Liste ungewöhnlicher Todesfälle 2007-06-01T07:36:06Z <p>Repku: /* 20th century */ Tried to make the language more encyclopedic.</p> <hr /> <div>{{Dynamic list}}<br /> <br /> This is a '''list of unusual deaths''' &amp;ndash; unique causes or extremely rare circumstances &amp;ndash; recorded throughout history. The list also includes less rare, but still unusual, deaths of prominent persons.<br /> <br /> To be included on this list, an unusual death has to receive mention in the Wikipedia article of a person, or the death itself has to be the focus of a Wikipedia article. <br /> <br /> == Antiquity ==<br /> ''Note: Many of these stories are likely to be [[apocryphal]] (uncertain authenticity)''<br /> * [[586 BC]]: [[Zedekiah]], king of Jehudia, was punished for his attempt at mutiny by having his whole family brought before him and executed, his eyes then immediately punctured, his palms amputated and his mutilated body sent to rot in the dungeons.<br /> * [[458 BC]]: The Greek playwright [[Aeschylus]] was killed when an eagle dropped a live tortoise on him, mistaking his bald head for a stone.<br /> * [[270 BC]]: The poet and grammarian [[Philetas of Cos]] reportedly wasted away and died of [[insomnia]] while brooding about the [[Liar paradox]].&lt;ref&gt;Donaldson, John William and Müller, Karl Otfried. ''A History of the Literature of Ancient Greece'', p. 262. London: John W. Parker and Son, 1858.&lt;/ref&gt;<br /> *[[207 BC]]: [[Chrysippus]], a Greek [[stoic]] [[philosopher]], is believed to have [[Fatal hilarity|died of laughter]] after watching his drunken donkey attempt to eat figs.&lt;ref&gt;''ibid.'', p. 27.&lt;/ref&gt;<br /> *[[53 BC]]: Following his defeat at [[Battle of Carrhae|Carrhae]] at the hands of the [[Parthians]] under [[Spahbod]] [[Surena]], [[Marcus Licinius Crassus]] was executed by having [[molten]] [[gold]] poured down his throat. Some accounts claim that his head was then cut off and used as a stage prop in a play performed for the Parthian king [[Orodes II]].<br /> *[[48 BC]]: The Roman general [[Pompey]], fleeing to Egypt after being defeated at the [[Battle of Pharsalus]] by his rival [[Julius Caesar]], was stabbed, killed, and decapitated: his head was then preserved in a jar by the young king [[Ptolemy XIII]] and presented to Caesar, with whom he intended to ingratiate himself. Caesar was not pleased.<br /> *[[43 BC]]: [[Cicero]], the great Roman statesman, was labelled an enemy of the state by the [[Second Triumvirate]]. Like all those [[Proscription|proscribed]] by the Triumvirate, he was hunted down and killed; his severed hands and head were then displayed on the [[Rostra]] in the [[Forum (Roman)|Forum]] for several days, during which time [[Fulvia]], wife of [[Mark Antony]], is supposed to have stabbed his once-skilled tongue several times with a hairpin.<br /> *[[42 BC]]: [[Porcia Catonis]], wife of [[Marcus Junius Brutus]], killed herself by supposedly swallowing hot coals after hearing of her husband's death; however, modern historians claim that it is more likely that she poisoned herself with carbon monoxide, by burning coals in an unventilated room.<br /> *[[4 BC]]: [[Herod the Great]] suffered from fever, intense rashes, colon pains, [[foot drop]], inflammation of the abdomen, a putrefaction of his genitals that produced worms, convulsions, and difficulty breathing before he finally gave up. &lt;ref&gt;Flavius Josephus, Jewish Antiquities, Book 17, Chapter 6&lt;/ref&gt; Similar symptoms-- abdominal pains and worms-- accompanied the death of his grandson [[Herod Agrippa]] in [[44]] AD, after he had imprisoned [[St Peter]]. At various times each of these deaths has been considered divine retribution.<br /> *[[64]] - [[67]]: [[St Peter]] was executed by the Romans. According to many sources, he asked not to be [[crucifixion|crucified]] in the normal way, but was instead executed on an [[Cross of St. Peter|inverted cross]]. This is the only recorded instance of this type of crucifixion.<br /> *[[69]]: The short-time Roman emperor [[Galba]] was killed after becoming extremely unpopular with both the Roman people and the Praetorian guard-- however, 120 different people claimed credit for having killed him. All of these names were recorded in a list and they all were later themselves executed by the emperor [[Vitellius]].<br /> *[[258]]: [[St Lawrence]] was martyred by being burned or 'grilled' on a large metal gridiron at Rome. Images of him often show him holding the instrument of his martyrdom. Legend says that he was so strong-willed that instead of giving in to the Romans and releasing information about the Church, at the point of death he exclaimed &quot;I am done on this side! Turn me over and eat.&quot;<br /> *[[260]]: According to some accounts, [[Roman Empire|Roman]] emperor [[Valerian (emperor)|Valerian]], after being defeated in battle and captured by the [[Sassanid dynasty|Persians]], was used as a footstool by their king [[Shapur I of Persia|Shapur I]]. After a long period of mistreatment and humiliation, he offered Shapur a huge ransom for his release. In reply, Shapur had molten [[gold]] poured down Valerian's throat. He then had the unfortunate emperor skinned and his skin stuffed with straw or dung and preserved as a trophy in the main [[Persian]] temple. Only after Persia's defeat in their last war with Rome three and a half centuries later was his skin given a cremation and burial.&lt;ref&gt;[[Lactantius]], ''De Mortibus Persecutorum'', v; Wickert, L., &quot;Licinius (Egnatius) 84&quot; in ''[[Pauly-Wissowa|Pauly-Wissowa, Realencyclopädie]]'' 13.1 (1926), 488-495; Parker, H., ''A History of the Roman World A.D. 138 to 337'' (London, 1958), 170. From [http://www.roman-emperors.org/gallval.htm].&lt;/ref&gt; (Interestingly, a recent report from Iran mentions the restoration of a bridge supposed to have been built by Valerian and his soldiers for Shapur in return for their freedom.&lt;ref&gt;[http://www.presstv.ir/detail.aspx?id=1171&amp;sectionid=351020107 &quot;Iran to restore ancient bridge built by captive Roman emperor&quot;] ''Press TV'', 02 Mar 2007&lt;/ref&gt;<br /> <br /> *[[415]]: The Greek mathematician and philosopher [[Hypatia of Alexandria]] was murdered by a mob by having her skin ripped off with sharp oyster-shells and what remained of her being burned.<br /> <br /> == Middle Ages == <br /> *[[1016]]: [[Edmund II of England]] was rumoured to have been stabbed in the gut or bowels while he was performing his [[ablution]]s.&lt;ref&gt;[[Henry of Huntingdon]] (tr. Thomas Forester). ''The Penis of Henry of Huntingdon'', p. 196. London: Henry G. Bohn, 1853.&lt;/ref&gt;<br /> *[[1277]]: [[Pope John XXI]] was killed in the collapse of his scientific [[laboratory]].&lt;ref&gt;Darras, Joseph Epiphane and White, Charles Ignatius. ''A General History of the Catholic Church: From the Life of the Christian Era to the Twentieth Century'', pp. 406-7. New York: P. J. Kennedy, 1898.&lt;/ref&gt;<br /> *[[1305]]: Scottish patriot [[Sir William Wallace]] was stripped naked and dragged through the city at the heels of a horse. He was hanged, drawn and quartered — strangled by hanging but released while still alive, emasculated, eviscerated and his bowels burnt before him, beheaded, then cut into four parts.<br /> *[[1327]]: [[Edward II of England]], after being deposed and imprisoned by his [[Queen consort]] [[Isabella of France|Isabella]] and her lover [[Roger Mortimer, 1st Earl of March|Roger Mortimer]], was rumored to have been murdered by having a red-hot iron inserted into his anus.&lt;ref&gt;{{cite book |last=Schama |first=Simon |authorlink= |coauthors= |title=A History of Great Britain: 3000BC-AD1603|year=2000 |publisher=BBC Worldwide |location= London|id= }} p.220&lt;/ref&gt;<br /> *[[1478]]: [[George Plantagenet, 1st Duke of Clarence|George Plantagenet]], [[Duke of Clarence]] reportedly was executed by drowning in a barrel of [[Malvasia|Malmsey wine]]&lt;ref&gt;Thompson, C. J. S. ''Mysteries of History with Accounts of Some Remarkable Characters and Charlatans'', pp. 31 ''ff.'' Kila, MT: Kessinger Publishing, 2004.&lt;/ref&gt; at his own request.<br /> <br /> == Early Modern Times ==<br /> *[[1559]]: [[Henry II of France|King Henry II]] of France was killed during a stunt knight's [[jousting]] match, when his helmet's soft golden grille gave way to a broken lancetip which pierced his eye and entered his brain. <br /> *[[1601]]: [[Tycho Brahe]], according to legend, died of complications resulting from a strained bladder at a banquet. It would have been extremely bad etiquette to leave the table before the meal was finished, so he stayed until he became fatally ill. This version of events has since been brought into question as other causes of death (murder by [[Johannes Kepler]], [[suicide]], and lead poisoning among others) have come to the fore.&lt;ref&gt;[http://scienceworld.wolfram.com/biography/Brahe.html]&lt;/ref&gt;<br /> *[[1671]]: [[François Vatel]], chef to [[Louis XIV of France|Louis XIV]], committed suicide because his seafood order was late and he couldn't stand the shame of a postponed meal. His body was discovered by an aide, sent to tell him of the arrival of the fish.&lt;ref&gt;[http://www.bartleby.com/65/va/Vatel-Fr.html Bartelby], but it states the authenticity is doubtful.&lt;/ref&gt;<br /> *[[1687]]: [[Jean-Baptiste Lully]], [[composer]], died of a [[gangrene|gangrenous]] [[abscess]] after piercing his foot with a staff while he was vigorously conducting a ''[[Te Deum]]''. The performance was to celebrate the king's recovery from an illness.&lt;ref&gt;[http://www.vanderbilt.edu/htdocs/Blair/Courses/MUSL243/lullbio.htm Biography at Vanderbilt University]&lt;/ref&gt;<br /> *[[1753]]: Professor [[Georg Wilhelm Richmann]], of [[Saint Petersburg]], [[Russian Empire|Russia]], was struck and killed by a globe of [[ball lightning]] while observing a storm.&lt;ref&gt;[http://www.physicstoday.org/vol-59/iss-1/p42.html]&lt;/ref&gt;<br /> *[[1771]]: King of [[Sweden]], [[Adolf Frederick of Sweden|Adolf Frederick]], died of digestion problems on [[February 12]], 1771 after having consumed a meal consisting of [[lobster]], [[caviar]], [[sauerkraut]], smoked [[herring]] and [[champagne (beverage)|champagne]], which was topped off with 14 servings of his favourite [[dessert]]: [[semla]] served in a bowl of hot [[milk]]. {{cn}} He is thus remembered by Swedish schoolchildren as &quot;the king who ate himself to death.&quot; {{cn}}<br /> <br /> == Modern Age ==<br /> ===19th century===<br /> *[[1830]]: [[William Huskisson]], statesman and financier, was crushed to death by the world's first passenger train (Stephenson's Rocket), at its public opening.<br /> *[[1834]]: [[David Douglas (botanist)|David Douglas]], [[Scottish people|Scottish]] [[botanist]], fell into a pit trap accompanied by a bull. He was mauled and possibly crushed.&lt;ref&gt;[http://www.life.umd.edu/emeritus/reveal/PBIO/LnC/douglas.html University of Maryland]: The source is uncertain if the bull fell in before or after him.&lt;/ref&gt;<br /> *[[1841]]: [[William Henry Harrison]], the 9th [[President of the United States]], died of [[pneumonia]] one month after delivering his two-hour inauguration speech in cold weather without an overcoat.<br /> *[[1868]]: [[Matthew Vassar]], brewer and founder of [[Vassar College]], died in mid-speech while delivering his [[Farewell speech|farewell address]] to the College [[Trustee|Board of Trustees]].<br /> *[[1884]]: [[Allan Pinkerton]], [[detective]], died of [[gangrene]] resulting from having bitten his [[tongue]] after stumbling on the [[sidewalk]].&lt;ref&gt;[http://heritage.scotsman.com/greatscots.cfm?id=441632005 Scotsman.com]&lt;/ref&gt;<br /> *[[1899]]: French president [[Félix Faure]] died of a stroke while receiving [[oral sex]] in his office.<br /> <br /> ===20th century===<br /> * A number of performers have died of natural causes during public performances, including:<br /> **[[1943]]: Critic [[Alexander Woollcott]] suffered a fatal heart attack during an on-air discussion about [[Adolf Hitler]].&lt;ref&gt;[http://www.bbc.co.uk/dna/h2g2/alabaster/A662230 BBC]&lt;/ref&gt;<br /> **[[1958]]: [[Gareth Jones (actor)|Gareth Jones]], actor, collapsed and died while in make-up between scenes of a [[live television]] play, ''Underground'', at the studios of [[Associated British Corporation]] in [[Manchester]]. Director [[Ted Kotcheff]] continued the play to its conclusion, improvising around Jones's absence.<br /> **[[1960]]: [[Baritone]] [[Leonard Warren]] collapsed on the stage of the [[New York Metropolitan Opera]] of a major stroke during a performance of ''[[La forza del destino]]''. According to legend, the last line he sang was &quot;Morir? Tremenda cosa.&quot; (&quot;To die? A tremendous thing.&quot;) However, witnesses say he was just past that aria and his actual last line was &quot;Gioia, o gioia!&quot; (Joy, oh joy!)<br /> **[[1971]]: [[Jerome Irving Rodale]], an [[United States|American]] pioneer of [[organic farming]], died of a heart attack while being interviewed on ''[[The Dick Cavett Show]]''. When he appeared to fall asleep, Cavett quipped &quot;Are we boring you, Mr. Rodale?&quot;.&lt;ref&gt;http://www.snopes.com/horrors/freakish/onstage.htm&lt;/ref&gt; The show was never broadcast.<br /> **[[1984]]: [[Tommy Cooper]] collapsed from a massive heart attack in front of millions of television viewers, midway through his act, on the popular [[ITV]] variety show, [[Live from Her Majesty's]]. At first the audience assumed he was joking.<br /> **[[1987]]: [[Dick Shawn]], a comedian who starred in the [[1968]] movie [[The Producers]], died of a heart attack while portraying a politician. Just before he died, he announced, &quot;if elected, I will not lay down on the job,&quot;.<br /> <br /> * A number of performers have died from unnatural causes during a practice or public performance, including:<br /> **[[1925]]: [[Zishe Breitbart|Zishe (Siegmund) Breitbart]], a circus strongman and Jewish folklore hero died during a demonstration in which he drove a spike through five one-inch thick oak boards using only his bare hands when his knee was accidentally pierced. The spike was rusted and caused an infection which led to fatal blood poisoning. He was the subject of the [[Werner Herzog]] film, ''[[Invincible (2001 film)|Invincible]]''.<br /> **[[1972]]: [[Leslie Harvey]], guitarist of [[Stone the Crows]] was electrocuted on stage by a live microphone.<br /> **[[1976]]: [[Keith Relf]], former singer for British [[rhythm and blues]] band [[The Yardbirds]], died while practicing his electric guitar, electrocuted because the guitar was not properly grounded.&lt;ref&gt;http://www.elvispelvis.com/electrocuted.htm&lt;/ref&gt;<br /> **[[1999]]: [[Owen Hart]], a professional wrestler for [[World Wrestling Entertainment|WWE]] died during a Pay-Per-View event when performing a stunt. It was planned to have Owen come down from the rafters of the [[Kemper Arena]] on a safety harness tied to a rope to make his ring entrance. The safety latch was released and Owen dropped 78 feet into the wrestling ring. The PPV continued even after he was pronounced dead.<br /> <br /> *[[1911]]: [[Jack Daniel]], founder of the [[Tennessee whiskey]] distillery, died of [[blood poisoning]] six years after receiving a [[toe]] injury when he kicked his safe in anger at being unable to remember its combination code.&lt;ref&gt;Haig, Matt. ''Brand Royalty: how the world's top 100 brands thrive and survive'', p. 197. London: Kogan Page, 2004.&lt;/ref&gt;<br /> *[[1912]]: Tailor [[Franz Reichelt]] fell to his death off the first deck of the Eiffel Tower while testing his invention, the coat parachute. It was his first ever attempt with the parachute and he'd told the authorities in advance he would test it first with a dummy.<br /> *[[1916]]: [[Grigori Rasputin]], [[Russia]]n [[mysticism|mystic]], died of [[drowning]] while trapped under ice. Although the details of his murder are disputed, he was allegedly placed in the water through a hole in the winter ice when he stubbornly refused to die after having been poisoned, bludgeoned, castrated, and shot multiple times in the head, lung, and liver.<br /> *[[1920]]: Baseball player [[Ray Chapman]] was killed when he was hit in the head by a pitch.<br /> *[[1923]]: [[George Herbert, 5th Earl of Carnarvon]] becomes the first to die from [[Curse of the Pharaohs|King Tut's Curse]] after a mosquito bite on his face becomes seriously infected.<br /> *[[1923]]: [[Frank Hayes (jockey)|Frank Hayes]], [[jockey]], suffered a [[Myocardial infarction|heart attack]] during a [[Horse-racing|horse race]]. The horse, ''[[Sweet Kiss (horse)|Sweet Kiss]]'', went on to finish first, making Hayes the only deceased jockey to win a race.<br /> *[[1927]]: [[J.G. Parry-Thomas]], a British racing driver, was decapitated by his car's drive chain which, under stress, snapped and whipped into the cockpit. He was attempting to break his own [[Land speed record]] which he had set the previous year. Despite being killed in the attempt, he succeeded in setting a new record of 171 mph.&lt;ref&gt;Reynolds, Barbara. ''Dorothy L. Sayers: her life and soul'', p. 162. New York: St. Martin's Press, 1997.&lt;/ref&gt;<br /> *[[1927]]: [[Isadora Duncan]], [[dancer]], died of accidental [[strangulation]] and [[cervical fracture|broken neck]] when her [[scarf]] caught on the wheel of a [[automobile|car]] in which she was a passenger.&lt;ref&gt;[http://www.newsroom.ucla.edu/page.asp?RelNum=6970 UCLA newsroom]&lt;/ref&gt; <br /> *[[1928]]: [[Alexander Bogdanov]], a Russian physician, died following one of his experiments, in which the blood of a student suffering from [[malaria]] and [[tuberculosis]], L. I. Koldomasov, was given to him in a transfusion.&lt;ref&gt;Bogdanov, Alexander (tr. &amp; ed. Douglas W. Huestis). ''The Struggle for Viability: Collectivism Through Blood Exchange'', p. 7. Tinicum, PA: Xlibris Corporation, 2002.&lt;/ref&gt;<br /> *[[1933]]: [[Michael Malloy]], a homeless man, was murdered by gassing after surviving multiple poisonings, intentional exposure and being struck by a car. Malloy was murdered by five men in a plot to collect on [[life insurance]] policies they had purchased.&lt;ref&gt;{{cite book |last=Read |first=Simon |authorlink= |coauthors= |title=The Bizarre Killing of Michael Malloy |year=2005 |publisher=Penguin Book Group |location= |id= }}&lt;/ref&gt;<br /> *[[1935]]: Baseball player [[Len Koenecke]] was bludgeoned to death with a fire extinguisher by the crew of an aircraft he had chartered, after provoking a fight with the pilot while the plane was in the air.<br /> *[[1941]]: [[Sherwood Anderson]], [[writer]], swallowed a [[toothpick]] at a party and then died of [[peritonitis]].&lt;ref&gt;[http://athena.english.vt.edu/~appalach/writersA/anderson.html Virginia Tech article]&lt;/ref&gt;<br /> *[[1943]]: [[Lady be Good (aircraft)|Lady be Good]], a [[United States Army Air Forces|USAAF]] B-24 bomber lost its way and crash landed in the [[Libyan Desert]]. [[Mummified]] remains of its crew, who struggled for a week without water, were not found until [[1960]].<br /> *[[1944]]: Inventor and chemist [[Thomas Midgley, Jr.]], accidentally strangled himself with the cord of a [[pulley]]-operated mechanical bed of his own design.<br /> *[[1947]]: The [[Collyer brothers]], extreme cases of [[Compulsive hoarding|compulsive hoarders]] were found dead in their home in New York. The younger brother, Langley, died by falling victim to a booby trap he had set up, causing a mountain of objects, books, and newspapers to fall on him crushing him to death. His blind brother, Homer, who had depended on Langley for care, died of starvation some days later. Their bodies were recovered after massive efforts in removing many tons of debris from their home.<br /> *[[1960]]: In the [[Nedelin disaster]], over 100 Soviet [[rocket|missile]] technicians and officials died when a switch was turned on unintentionally igniting the rocket, including Red Army Marshal Nedelin who was seated in a deck chair just 40 meters away overseeing launch preparations. The events were filmed by automatic cameras.<br /> *[[1967]]: A flash fire began in the pure oxygen atmosphere during a training exercise inside the unlaunched [[Apollo 1]] spacecraft, killing Command Pilot [[Gus Grissom]], Senior Pilot [[Edward Higgins White|Ed White]], and Pilot [[Roger B. Chaffee]]. The door to the capsule was unable to be opened during the fire because of its specific design.<br /> *[[1967]]: [[Vladimir Komarov]] became the first person to die during a space mission after the parachute of his capsule failed to deploy.<br /> *[[1973]]: [[Péter Vályi]], finance minister of Hungary fell into a blast furnace (some sources say a pit of molten iron) on a visit to a steelworks factory at Miskolc.&lt;ref&gt;http://www.cherwell.org/features/how_would_you_like_to_die&lt;/ref&gt;&lt;ref&gt;http://www.brewlab.co.uk/pdf/back%20to%20school.pdf&lt;/ref&gt;&lt;ref&gt;http://www.rev.hu/html/en/films/industrial.htm&lt;/ref&gt;<br /> *[[1974]]: [[Christine Chubbuck]], an [[United States|American]] television [[news reporter]], committed [[suicide]] during a live broadcast on [[July 15]]. At 9:38 AM, 8 minutes into her talk show, on WXLT-TV in [[Sarasota]], [[Florida]], she drew out a [[revolver]] and shot herself in the head.<br /> *[[1975]]: On 24 March 1975 [[Alex Mitchell]], a 50-year-old bricklayer from [[King's Lynn]] literally died laughing whilst watching an episode of ''[[The Goodies]]''. According to his wife, who was a witness, Mitchell was unable to stop laughing whilst watching a sketch in the episode &quot;[[Kung Fu Kapers]]&quot; in which [[Tim Brooke-Taylor]], dressed as a kilted Scotsman, used a set of [[bagpipes]] to defend himself from a psychopathic [[black pudding]] in a demonstration of the Scottish martial art of &quot;Hoots-Toot-ochaye.&quot; After twenty-five minutes of continuous laughter Mitchell finally slumped on the sofa and expired from heart failure.<br /> *[[1977]]: [[Tom Pryce]], a [[Formula One]] driver, and a 19-year-old track marshal [[Jansen Van Vuuren]] both died at the [[1977 South African Grand Prix]] after Van Vuuren ran across the track beyond a blind brow to attend to another car which had caught fire and was struck by Pryce's car at approximately 170[[miles per hour|mph]]. Pryce was struck in the face by the marshal's [[fire extinguisher]] and was killed instantly.&lt;ref name=&quot;Tom Pryce death&quot;&gt;{{cite book |last=Tremayne |first= David|authorlink=David Tremayne |coauthors= |editor= |others= |title=The Lost Generation |origdate= |origyear= 2006 |origmonth=August|url= |format= |accessdate=2007-01-05 |accessyear= |accessmonth= |edition= |date= |year= |month= |publisher= Haynes Publishing|location= |language=English |isbn=1-84425-205-1 |oclc= |doi= |id= |pages= |chapter=Chapter 19 - A Moment Of Desperate Sadness|chapterurl= |quote=}}&lt;/ref&gt;<br /> *[[1978]]: [[Georgi Markov]], a [[Bulgarians|Bulgarian]] dissident, was assassinated by poisoning in [[London]] by an unknown assailant who jabbed him in the calf with a specially modified [[umbrella]] that fired a metal pellet with a small cavity full of [[ricin]] poison.<br /> *[[1978]]: [[Janet Parker]], a British medical photographer, died of [[smallpox]] in 1978, ten months after the disease was eradicated in the wild, when a researcher at the laboratory Parker worked at accidentally released some virus into the air of the building. She is believed to be the last smallpox fatality in history.<br /> *[[1981]]: A 25-year-old Dutch woman studying in [[Paris]], Renée Hartevelt, was killed and [[cannibalism|eaten]] by a classmate, [[Issei Sagawa]], when he invited her to dinner for a literary conversation. The killer was declared unfit to stand trial and extradited back to [[Japan]], where he was released from custody within fifteen months.<br /> *[[1981]]: [[Boris Sagal]], a motion picture-director, died while shooting the TV miniseries ''[[World War III (TV miniseries)|World War III]]'' when he walked into the tail-rotor blade of a helicopter and was decapitated. <br /> *[[1982]]: [[Vic Morrow]], [[actor]], was [[decapitation|decapitated]] by a [[helicopter]] blade during filming of ''[[Twilight Zone: The Movie]]'', along with two child actors, [[Myca Dinh Le]] and [[Renee Shin-Yi Chen]].<br /> *[[1982]]: [[Vladimir Smirnov (fencer)|Vladimir Smirnov]], an [[1980 Summer Olympics|Olympic champion]] [[Fencing (sport)|fencer]], died of [[brain damage]] nine days after his opponent's [[Foil (sword)|foil]] snapped during a match, pierced his eyeball and entered his [[brain]].<br /> *[[1983]]: A diver on the [[Byford Dolphin]] [[oil rig|oil exploration rig]] was violently dismembered and pulled through a narrowly opened hatch when the [[decompression chamber]] was accidentally opened, causing [[explosive decompression]].<br /> *[[1983]]: [[Tennessee Williams]], American playwright, died choking on a bottle cap. He was in a hotel but was too drunk to leave his room or make sufficient noise to attract attention.<br /> *[[1983]]: [[Sergei Chalibashvili]], a professional [[Diving|diver]], died after a diving accident during [[World University Games]]. When he attempted a three-and-a-half reverse [[somersault]] in the tuck position, he smashed his head on the board and was knocked unconscious. He died after being in a [[coma]] for a week.<br /> *[[1984]]: [[Jon-Erik Hexum]], an American television actor, died after he shot himself in the head with a prop gun during a break in filming. Hexum apparently did not realize that blanks use paper or plastic wadding to seal gun powder into the shell, and that this wadding is propelled out of the barrel of the gun with enough force to cause severe injury or death if the weapon is fired at point-blank range. <br /> *[[1986]]: While on the air giving a traffic report, the helicopter that [[Jane Dornacker]] was riding in stalled and crashed into the [[Hudson River]], killing her. This was the second helicopter crash she had been in that year.<br /> *[[1987]]: [[R. Budd Dwyer]], a [[Republican Party (United States)|Republican]] [[politician]], committed [[suicide]] during a televised [[press conference]]. Facing a potential 55-year jail sentence for alleged involvement in a [[Conspiracy (crime)|conspiracy]], Dwyer shot himself in the mouth with a [[revolver]].<br /> *[[1990]]: [[Joseph W. Burrus]], aged 32, an aspiring magician, decided to perform the &quot;[[buried alive]]&quot; illusion in a plastic box covered with cement. The cement crushed the box and he died of asphyxia.&lt;ref&gt;[http://www.snopes.com/horrors/freakish/onstage.htm Snopes.com], on a list of those who &quot;died on stage.&quot;&lt;/ref&gt;<br /> *[[1990]]: [[George Allen (football)|George Allen]], an American football coach, died a month after some of his players gave him a [[Gatorade Shower]] following a victory (as it is tradition in American Football). Some argue this resulted in [[pneumonia]].<br /> *[[1993]]: [[Brandon Lee]], son of Bruce Lee, was shot and killed by a prop [[.44 Magnum]] gun while filming the movie ''[[The Crow (film)|The Crow]]''. The gun was pre-loaded by the Weapons Master for the set, but the casing for the blank shattered upon firing and the fragments became instant projectiles. They pierced Brandon's chest in five places, some in the heart. It was not instantly recognized by the crew or other actors; they believed he was still acting. <br /> *[[1993]]: [[Garry Hoy]], a Toronto lawyer, fell to his death after he threw himself through the glass wall on the 24th floor of the [[Toronto-Dominion Centre]] in order to prove the glass was &quot;unbreakable&quot;.<br /> *[[1996]]: [[Sharon Lopatka]], an internet entrepreneur from Maryland who allegedly solicited a man via the Internet to torture and kill her for the purpose of sexual gratification. Her killer, Robert Fredrick Glass, was convicted of voluntary manslaughter for the homicide. <br /> *[[1998]]: [[Tom and Eileen Lonergan]] were stranded while [[scuba diving]] with a group of divers off [[Australia]]'s [[Great Barrier Reef]]. The group's boat accidentally abandoned them due to an incorrect head count taken by the dive boat crew. The couple was left to fend for themselves in [[shark]]-infested waters. Their bodies were never recovered. The incident is depicted in the film ''[[Open Water]]''.<br /> <br /> ===21st century===<br /> *[[2001]]: Bernd-Jürgen Brandes was stabbed repeatedly in the neck and then eaten by [[Armin Meiwes]]. Before the killing, both men dined on Brandes' severed penis. Brandes had answered an internet advertisement by Meiwes looking for someone for this purpose. Brandes explicitly stated in his will that he wished to be killed and eaten. This is referred to in the song &quot;Mein Teil&quot; by German [[Neue Deutsche Härte|NDH]] band [[Rammstein]].&lt;ref&gt;[http://news.bbc.co.uk/2/hi/europe/4752797.stm &quot;German cannibal guilty of murder&quot;], ''BBC News'', May 9, 2006&lt;/ref&gt;<br /> <br /> *[[2003]]: [[Brian Wells]], a [[pizza delivery]] man, was killed by a [[Time bomb (explosive)|time bomb]] which was fastened around his neck. He was apprehended by the [[police]] after robbing a [[bank]], and claimed he had been forced to do it by three people who had put the bomb around his neck and would kill him if he refused. The bomb later exploded, killing him.<br /> *[[2003]]: [[Brandon Vedas]] died of a [[drug overdose]] while engaged in an [[Internet chat]], as shown on his [[webcam]]. <br /> *[[2003]]: [[Timothy Treadwell]], an [[United States|American]] [[environmentalist]] who had lived in the wilderness among bears for thirteen summers in a remote region in [[Alaska]], was killed and partially consumed by bears, along with his girlfriend Amie Huguenard. The incident is described in [[Werner Herzog]]'s [[documentary film]] ''[[Grizzly Man]]''.&lt;ref&gt;Medred, Craig.''[http://www.adn.com/front/story/4110831p-4127072c.html Wildlife author killed, eaten by bears he loved]''. ''[[Anchorage Daily News]]''. October 8, 2003. Retrieved September 4, 2006.&lt;/ref&gt;<br /> *[[2005]]: [[Kenneth Pinyan]] of [[Seattle]] died of acute [[peritonitis]] after submitting to anal intercourse with a stallion in the town of [[Enumclaw, Washington]]. Pinyan had done this before, and he delayed his visit to the hospital for several hours out of reluctance for official cognizance. The case led to the criminalization of [[zoophilia|bestiality]] in [[Washington]].&lt;ref&gt;http://seattletimes.nwsource.com/html/localnews/2002569751_horsesex19m.html&lt;/ref&gt; His story was recounted in the [[2007]] documentary film ''[[Zoo (film)|Zoo]]''.<br /> *[[2005]]: 28-year-old [[South Korea|Korean]] video game addict [[Lee Seung Seop]] collapsed and died of fatigue in an Internet cafe after playing [[World of Warcraft]] for almost 50 consecutive hours.&lt;ref&gt;[http://www.timesonline.co.uk/article/0,,3-1729573,00.html &quot;Korean drops dead after 50-hour gaming marathon&quot;], ''Times Online'', August 10, 2005&lt;/ref&gt;<br /> *[[2006]]: [[Steve Irwin]], a television personality and naturalist known as [[The Crocodile Hunter]], died when his heart was impaled by a [[short-tail stingray]] barb while filming a documentary entitled &quot;Ocean's Deadliest&quot; in [[Queensland]]'s [[Great Barrier Reef]].&lt;ref&gt;http://www.theaustralian.news.com.au/story/0,20867,20355064-30417,00.html&lt;/ref&gt;<br /> *[[2006]]: [[Alexander Litvinenko]], a former [[Federal_Security_Service_of_the_Russian_Federation|FSB]] operative and Russian expatriate who had been investigating the murder of Russian journalist [[Anna Politkovskaya]], was [[radiation poisoning|poisoned]] by [[polonium|polonium-210]], an extremely rare radioactive [[metalloid]].&lt;ref&gt;[http://news.bbc.co.uk/2/hi/uk_news/6178890.stm Russian ex-spy dies in hospital]&lt;/ref&gt;<br /> *[[2006]]: [[Mariesa Weber]], a 5'3&quot; Florida woman, fell behind a 6' tall bookcase in her family's home and suffocated. She was not discovered for 11 days; her family thought she had been kidnapped.&lt;ref&gt;[http://news.bbc.co.uk/2/hi/americas/6185854.stm Bookcase 'trap' killed US woman]&lt;/ref&gt;<br /> *[[2007]]: [[Jennifer Strange]], a 28-year-old woman from [[Sacramento]], died of [[water intoxication]] while trying to win a [[Nintendo]] [[Wii]] in a [[KDND]] 107.9 &quot;The End&quot; radio station's &quot;Hold Your Wee for a Wii&quot; contest, which involved drinking large quantities of water without urinating.&lt;ref&gt;[http://www.latimes.com/news/printedition/california/la-me-water14jan14,1,1368543.story?coll=la-headlines-pe-california &quot;Woman dies after being in water-drinking contest&quot;], ''The Los Angeles Times'', January 14, 2007&lt;/ref&gt;<br /> *[[2007]]: [[Kevin Whitrick]], a 42-year-old man committed [[suicide]] live on a webcam during an internet chat session.<br /> *[[2007]]: [[Martin Harris (train surfer)|Martin Harris]], a [[Denmark|Danish]] [[train surfing|train surfer]], who published several video clips on the internet and was featured on regional TV for his sport, was killed during train surfing while passing under a low bridge.<br /> <br /> ==References==<br /> &lt;div class=&quot;references-small&quot;&gt;&lt;references/&gt;&lt;/div&gt;<br /> <br /> == See also ==<br /> * [[Toilet-related injury]]<br /> * [[List of inventors killed by their own inventions]]<br /> * [[Darwin Awards]]<br /> * [http://www.newsvoid.com/special/top10deaths.html Top 10 Strangest Deaths]<br /> * [[List of films by gory death scene]] for fictional unusual deaths<br /> <br /> {{DEFAULTSORT:Unusual}}<br /> <br /> [[Category:Lists of people by cause of death]]<br /> [[Category:Death-related lists]]<br /> <br /> [[es:Anexo:Fallecimientos extraños]]<br /> [[nl:Lijst van personen die op ongebruikelijke manier zijn overleden]]</div> Repku https://de.wikipedia.org/w/index.php?title=Liste_ungew%C3%B6hnlicher_Todesf%C3%A4lle&diff=137061714 Liste ungewöhnlicher Todesfälle 2007-06-01T07:25:11Z <p>Repku: /* Early Modern Times */</p> <hr /> <div>{{Dynamic list}}<br /> <br /> This is a '''list of unusual deaths''' &amp;ndash; unique causes or extremely rare circumstances &amp;ndash; recorded throughout history. The list also includes less rare, but still unusual, deaths of prominent persons.<br /> <br /> To be included on this list, an unusual death has to receive mention in the Wikipedia article of a person, or the death itself has to be the focus of a Wikipedia article. <br /> <br /> == Antiquity ==<br /> ''Note: Many of these stories are likely to be [[apocryphal]] (uncertain authenticity)''<br /> * [[586 BC]]: [[Zedekiah]], king of Jehudia, was punished for his attempt at mutiny by having his whole family brought before him and executed, his eyes then immediately punctured, his palms amputated and his mutilated body sent to rot in the dungeons.<br /> * [[458 BC]]: The Greek playwright [[Aeschylus]] was killed when an eagle dropped a live tortoise on him, mistaking his bald head for a stone.<br /> * [[270 BC]]: The poet and grammarian [[Philetas of Cos]] reportedly wasted away and died of [[insomnia]] while brooding about the [[Liar paradox]].&lt;ref&gt;Donaldson, John William and Müller, Karl Otfried. ''A History of the Literature of Ancient Greece'', p. 262. London: John W. Parker and Son, 1858.&lt;/ref&gt;<br /> *[[207 BC]]: [[Chrysippus]], a Greek [[stoic]] [[philosopher]], is believed to have [[Fatal hilarity|died of laughter]] after watching his drunken donkey attempt to eat figs.&lt;ref&gt;''ibid.'', p. 27.&lt;/ref&gt;<br /> *[[53 BC]]: Following his defeat at [[Battle of Carrhae|Carrhae]] at the hands of the [[Parthians]] under [[Spahbod]] [[Surena]], [[Marcus Licinius Crassus]] was executed by having [[molten]] [[gold]] poured down his throat. Some accounts claim that his head was then cut off and used as a stage prop in a play performed for the Parthian king [[Orodes II]].<br /> *[[48 BC]]: The Roman general [[Pompey]], fleeing to Egypt after being defeated at the [[Battle of Pharsalus]] by his rival [[Julius Caesar]], was stabbed, killed, and decapitated: his head was then preserved in a jar by the young king [[Ptolemy XIII]] and presented to Caesar, with whom he intended to ingratiate himself. Caesar was not pleased.<br /> *[[43 BC]]: [[Cicero]], the great Roman statesman, was labelled an enemy of the state by the [[Second Triumvirate]]. Like all those [[Proscription|proscribed]] by the Triumvirate, he was hunted down and killed; his severed hands and head were then displayed on the [[Rostra]] in the [[Forum (Roman)|Forum]] for several days, during which time [[Fulvia]], wife of [[Mark Antony]], is supposed to have stabbed his once-skilled tongue several times with a hairpin.<br /> *[[42 BC]]: [[Porcia Catonis]], wife of [[Marcus Junius Brutus]], killed herself by supposedly swallowing hot coals after hearing of her husband's death; however, modern historians claim that it is more likely that she poisoned herself with carbon monoxide, by burning coals in an unventilated room.<br /> *[[4 BC]]: [[Herod the Great]] suffered from fever, intense rashes, colon pains, [[foot drop]], inflammation of the abdomen, a putrefaction of his genitals that produced worms, convulsions, and difficulty breathing before he finally gave up. &lt;ref&gt;Flavius Josephus, Jewish Antiquities, Book 17, Chapter 6&lt;/ref&gt; Similar symptoms-- abdominal pains and worms-- accompanied the death of his grandson [[Herod Agrippa]] in [[44]] AD, after he had imprisoned [[St Peter]]. At various times each of these deaths has been considered divine retribution.<br /> *[[64]] - [[67]]: [[St Peter]] was executed by the Romans. According to many sources, he asked not to be [[crucifixion|crucified]] in the normal way, but was instead executed on an [[Cross of St. Peter|inverted cross]]. This is the only recorded instance of this type of crucifixion.<br /> *[[69]]: The short-time Roman emperor [[Galba]] was killed after becoming extremely unpopular with both the Roman people and the Praetorian guard-- however, 120 different people claimed credit for having killed him. All of these names were recorded in a list and they all were later themselves executed by the emperor [[Vitellius]].<br /> *[[258]]: [[St Lawrence]] was martyred by being burned or 'grilled' on a large metal gridiron at Rome. Images of him often show him holding the instrument of his martyrdom. Legend says that he was so strong-willed that instead of giving in to the Romans and releasing information about the Church, at the point of death he exclaimed &quot;I am done on this side! Turn me over and eat.&quot;<br /> *[[260]]: According to some accounts, [[Roman Empire|Roman]] emperor [[Valerian (emperor)|Valerian]], after being defeated in battle and captured by the [[Sassanid dynasty|Persians]], was used as a footstool by their king [[Shapur I of Persia|Shapur I]]. After a long period of mistreatment and humiliation, he offered Shapur a huge ransom for his release. In reply, Shapur had molten [[gold]] poured down Valerian's throat. He then had the unfortunate emperor skinned and his skin stuffed with straw or dung and preserved as a trophy in the main [[Persian]] temple. Only after Persia's defeat in their last war with Rome three and a half centuries later was his skin given a cremation and burial.&lt;ref&gt;[[Lactantius]], ''De Mortibus Persecutorum'', v; Wickert, L., &quot;Licinius (Egnatius) 84&quot; in ''[[Pauly-Wissowa|Pauly-Wissowa, Realencyclopädie]]'' 13.1 (1926), 488-495; Parker, H., ''A History of the Roman World A.D. 138 to 337'' (London, 1958), 170. From [http://www.roman-emperors.org/gallval.htm].&lt;/ref&gt; (Interestingly, a recent report from Iran mentions the restoration of a bridge supposed to have been built by Valerian and his soldiers for Shapur in return for their freedom.&lt;ref&gt;[http://www.presstv.ir/detail.aspx?id=1171&amp;sectionid=351020107 &quot;Iran to restore ancient bridge built by captive Roman emperor&quot;] ''Press TV'', 02 Mar 2007&lt;/ref&gt;<br /> <br /> *[[415]]: The Greek mathematician and philosopher [[Hypatia of Alexandria]] was murdered by a mob by having her skin ripped off with sharp oyster-shells and what remained of her being burned.<br /> <br /> == Middle Ages == <br /> *[[1016]]: [[Edmund II of England]] was rumoured to have been stabbed in the gut or bowels while he was performing his [[ablution]]s.&lt;ref&gt;[[Henry of Huntingdon]] (tr. Thomas Forester). ''The Penis of Henry of Huntingdon'', p. 196. London: Henry G. Bohn, 1853.&lt;/ref&gt;<br /> *[[1277]]: [[Pope John XXI]] was killed in the collapse of his scientific [[laboratory]].&lt;ref&gt;Darras, Joseph Epiphane and White, Charles Ignatius. ''A General History of the Catholic Church: From the Life of the Christian Era to the Twentieth Century'', pp. 406-7. New York: P. J. Kennedy, 1898.&lt;/ref&gt;<br /> *[[1305]]: Scottish patriot [[Sir William Wallace]] was stripped naked and dragged through the city at the heels of a horse. He was hanged, drawn and quartered — strangled by hanging but released while still alive, emasculated, eviscerated and his bowels burnt before him, beheaded, then cut into four parts.<br /> *[[1327]]: [[Edward II of England]], after being deposed and imprisoned by his [[Queen consort]] [[Isabella of France|Isabella]] and her lover [[Roger Mortimer, 1st Earl of March|Roger Mortimer]], was rumored to have been murdered by having a red-hot iron inserted into his anus.&lt;ref&gt;{{cite book |last=Schama |first=Simon |authorlink= |coauthors= |title=A History of Great Britain: 3000BC-AD1603|year=2000 |publisher=BBC Worldwide |location= London|id= }} p.220&lt;/ref&gt;<br /> *[[1478]]: [[George Plantagenet, 1st Duke of Clarence|George Plantagenet]], [[Duke of Clarence]] reportedly was executed by drowning in a barrel of [[Malvasia|Malmsey wine]]&lt;ref&gt;Thompson, C. J. S. ''Mysteries of History with Accounts of Some Remarkable Characters and Charlatans'', pp. 31 ''ff.'' Kila, MT: Kessinger Publishing, 2004.&lt;/ref&gt; at his own request.<br /> <br /> == Early Modern Times ==<br /> *[[1559]]: [[Henry II of France|King Henry II]] of France was killed during a stunt knight's [[jousting]] match, when his helmet's soft golden grille gave way to a broken lancetip which pierced his eye and entered his brain. <br /> *[[1601]]: [[Tycho Brahe]], according to legend, died of complications resulting from a strained bladder at a banquet. It would have been extremely bad etiquette to leave the table before the meal was finished, so he stayed until he became fatally ill. This version of events has since been brought into question as other causes of death (murder by [[Johannes Kepler]], [[suicide]], and lead poisoning among others) have come to the fore.&lt;ref&gt;[http://scienceworld.wolfram.com/biography/Brahe.html]&lt;/ref&gt;<br /> *[[1671]]: [[François Vatel]], chef to [[Louis XIV of France|Louis XIV]], committed suicide because his seafood order was late and he couldn't stand the shame of a postponed meal. His body was discovered by an aide, sent to tell him of the arrival of the fish.&lt;ref&gt;[http://www.bartleby.com/65/va/Vatel-Fr.html Bartelby], but it states the authenticity is doubtful.&lt;/ref&gt;<br /> *[[1687]]: [[Jean-Baptiste Lully]], [[composer]], died of a [[gangrene|gangrenous]] [[abscess]] after piercing his foot with a staff while he was vigorously conducting a ''[[Te Deum]]''. The performance was to celebrate the king's recovery from an illness.&lt;ref&gt;[http://www.vanderbilt.edu/htdocs/Blair/Courses/MUSL243/lullbio.htm Biography at Vanderbilt University]&lt;/ref&gt;<br /> *[[1753]]: Professor [[Georg Wilhelm Richmann]], of [[Saint Petersburg]], [[Russian Empire|Russia]], was struck and killed by a globe of [[ball lightning]] while observing a storm.&lt;ref&gt;[http://www.physicstoday.org/vol-59/iss-1/p42.html]&lt;/ref&gt;<br /> *[[1771]]: King of [[Sweden]], [[Adolf Frederick of Sweden|Adolf Frederick]], died of digestion problems on [[February 12]], 1771 after having consumed a meal consisting of [[lobster]], [[caviar]], [[sauerkraut]], smoked [[herring]] and [[champagne (beverage)|champagne]], which was topped off with 14 servings of his favourite [[dessert]]: [[semla]] served in a bowl of hot [[milk]]. {{cn}} He is thus remembered by Swedish schoolchildren as &quot;the king who ate himself to death.&quot; {{cn}}<br /> <br /> == Modern Age ==<br /> ===19th century===<br /> *[[1830]]: [[William Huskisson]], statesman and financier, was crushed to death by the world's first passenger train (Stephenson's Rocket), at its public opening.<br /> *[[1834]]: [[David Douglas (botanist)|David Douglas]], [[Scottish people|Scottish]] [[botanist]], fell into a pit trap accompanied by a bull. He was mauled and possibly crushed.&lt;ref&gt;[http://www.life.umd.edu/emeritus/reveal/PBIO/LnC/douglas.html University of Maryland]: The source is uncertain if the bull fell in before or after him.&lt;/ref&gt;<br /> *[[1841]]: [[William Henry Harrison]], the 9th [[President of the United States]], died of [[pneumonia]] one month after delivering his two-hour inauguration speech in cold weather without an overcoat.<br /> *[[1868]]: [[Matthew Vassar]], brewer and founder of [[Vassar College]], died in mid-speech while delivering his [[Farewell speech|farewell address]] to the College [[Trustee|Board of Trustees]].<br /> *[[1884]]: [[Allan Pinkerton]], [[detective]], died of [[gangrene]] resulting from having bitten his [[tongue]] after stumbling on the [[sidewalk]].&lt;ref&gt;[http://heritage.scotsman.com/greatscots.cfm?id=441632005 Scotsman.com]&lt;/ref&gt;<br /> *[[1899]]: French president [[Félix Faure]] died of a stroke while receiving [[oral sex]] in his office.<br /> <br /> ===20th century===<br /> * A number of performers have died of natural causes during public performances, including:<br /> **[[1943]]: Critic [[Alexander Woollcott]] suffered a fatal heart attack during an on-air discussion about [[Adolf Hitler]].&lt;ref&gt;[http://www.bbc.co.uk/dna/h2g2/alabaster/A662230 BBC]&lt;/ref&gt;<br /> **[[1958]]: [[Gareth Jones (actor)|Gareth Jones]], actor, collapsed and died while in make-up between scenes of a [[live television]] play, ''Underground'', at the studios of [[Associated British Corporation]] in [[Manchester]]. Director [[Ted Kotcheff]] continued the play to its conclusion, improvising around Jones's absence.<br /> **[[1960]]: [[Baritone]] [[Leonard Warren]] collapsed on the stage of the [[New York Metropolitan Opera]] of a major stroke during a performance of ''[[La forza del destino]]''. According to legend, the last line he sang was &quot;Morir? Tremenda cosa.&quot; (&quot;To die? A tremendous thing.&quot;) However, witnesses say he was just past that aria and his actual last line was &quot;Gioia, o gioia!&quot; (Joy, oh joy!)<br /> **[[1971]]: [[Jerome Irving Rodale]], an [[United States|American]] pioneer of [[organic farming]], died of a heart attack while being interviewed on ''[[The Dick Cavett Show]]''. When he appeared to fall asleep, Cavett quipped &quot;Are we boring you, Mr. Rodale?&quot;.&lt;ref&gt;http://www.snopes.com/horrors/freakish/onstage.htm&lt;/ref&gt; The show was never broadcast.<br /> **[[1984]]: [[Tommy Cooper]] collapsed from a massive heart attack in front of millions of television viewers, midway through his act, on the popular [[ITV]] variety show, [[Live from Her Majesty's]]. At first the audience assumed he was joking.<br /> **[[1987]]: [[Dick Shawn]], a comedian who starred in the [[1968]] movie [[The Producers]], died on stage of a heart attack. While portraying a politician, he announced, &quot;if elected, I will not lay down on the job,&quot; then lay down on stage and never stood back up.<br /> <br /> * A number of performers have died from unnatural causes during a practice or public performance, including:<br /> **[[1925]]: [[Zishe Breitbart|Zishe (Siegmund) Breitbart]], a circus strongman and Jewish folklore hero died during a demonstration in which he drove a spike through five one-inch thick oak boards using only his bare hands when his knee was accidentally pierced. The spike was rusted and caused an infection which led to fatal blood poisoning. He was the subject of the [[Werner Herzog]] film, ''[[Invincible (2001 film)|Invincible]]''.<br /> **[[1972]]: [[Leslie Harvey]], guitarist of [[Stone the Crows]] was electrocuted on stage by a live microphone.<br /> **[[1976]]: [[Keith Relf]], former singer for British [[rhythm and blues]] band [[The Yardbirds]], died while practicing his electric guitar, electrocuted because the guitar was not properly grounded.&lt;ref&gt;http://www.elvispelvis.com/electrocuted.htm&lt;/ref&gt;<br /> **[[1999]]: [[Owen Hart]], a professional wrestler for [[World Wrestling Entertainment|WWE]] died during a Pay-Per-View event when performing a stunt. It was planned to have Owen come down from the rafters of the [[Kemper Arena]] on a safety harness tied to a rope to make his ring entrance. The safety latch was released and Owen dropped 78 feet into the wrestling ring. The PPV continued even after he was pronounced dead.<br /> <br /> *[[1911]]: [[Jack Daniel]], founder of the [[Tennessee whiskey]] distillery, died of [[blood poisoning]] six years after receiving a [[toe]] injury when he kicked his safe in anger at being unable to remember its combination code.&lt;ref&gt;Haig, Matt. ''Brand Royalty: how the world's top 100 brands thrive and survive'', p. 197. London: Kogan Page, 2004.&lt;/ref&gt;<br /> *[[1912]]: Tailor [[Franz Reichelt]] fell to his death off the first deck of the Eiffel Tower while testing his invention, the coat parachute. It was his first ever attempt with the parachute and he'd told the authorities in advance he would test it first with a dummy.<br /> *[[1916]]: [[Grigori Rasputin]], [[Russia]]n [[mysticism|mystic]], died of [[drowning]] while trapped under ice. Although the details of his murder are disputed, he was allegedly placed in the water through a hole in the winter ice when he stubbornly refused to die after having been poisoned, bludgeoned, castrated, and shot multiple times in the head, lung, and liver.<br /> *[[1920]]: Baseball player [[Ray Chapman]] was killed when he was hit in the head by a pitch.<br /> *[[1923]]: [[George Herbert, 5th Earl of Carnarvon]] becomes the first to die from [[Curse of the Pharaohs|King Tut's Curse]] after a mosquito bite on his face becomes seriously infected.<br /> *[[1923]]: [[Frank Hayes (jockey)|Frank Hayes]], [[jockey]], suffered a [[Myocardial infarction|heart attack]] during a [[Horse-racing|horse race]]. The horse, ''[[Sweet Kiss (horse)|Sweet Kiss]]'', went on to finish first, making Hayes the only deceased jockey to win a race.<br /> *[[1927]]: [[J.G. Parry-Thomas]], a British racing driver, was decapitated by his car's drive chain which, under stress, snapped and whipped into the cockpit. He was attempting to break his own [[Land speed record]] which he had set the previous year. Despite being killed in the attempt, he succeeded in setting a new record of 171 mph.&lt;ref&gt;Reynolds, Barbara. ''Dorothy L. Sayers: her life and soul'', p. 162. New York: St. Martin's Press, 1997.&lt;/ref&gt;<br /> *[[1927]]: [[Isadora Duncan]], [[dancer]], died of accidental [[strangulation]] and [[cervical fracture|broken neck]] when her [[scarf]] caught on the wheel of a [[automobile|car]] in which she was a passenger.&lt;ref&gt;[http://www.newsroom.ucla.edu/page.asp?RelNum=6970 UCLA newsroom]&lt;/ref&gt; <br /> *[[1928]]: [[Alexander Bogdanov]], a Russian physician, died following one of his experiments, in which the blood of a student suffering from [[malaria]] and [[tuberculosis]], L. I. Koldomasov, was given to him in a transfusion.&lt;ref&gt;Bogdanov, Alexander (tr. &amp; ed. Douglas W. Huestis). ''The Struggle for Viability: Collectivism Through Blood Exchange'', p. 7. Tinicum, PA: Xlibris Corporation, 2002.&lt;/ref&gt;<br /> *[[1933]]: [[Michael Malloy]], a homeless man, was murdered by gassing after surviving multiple poisonings, intentional exposure and being struck by a car. Malloy was murdered by five men in a plot to collect on [[life insurance]] policies they had purchased.&lt;ref&gt;{{cite book |last=Read |first=Simon |authorlink= |coauthors= |title=The Bizarre Killing of Michael Malloy |year=2005 |publisher=Penguin Book Group |location= |id= }}&lt;/ref&gt;<br /> *[[1935]]: Baseball player [[Len Koenecke]] was bludgeoned to death with a fire extinguisher by the crew of an aircraft he had chartered, after provoking a fight with the pilot while the plane was in the air.<br /> *[[1941]]: [[Sherwood Anderson]], [[writer]], swallowed a [[toothpick]] at a party and then died of [[peritonitis]].&lt;ref&gt;[http://athena.english.vt.edu/~appalach/writersA/anderson.html Virginia Tech article]&lt;/ref&gt;<br /> *[[1943]]: [[Lady be Good (aircraft)|Lady be Good]], a [[United States Army Air Forces|USAAF]] B-24 bomber lost its way and crash landed in the [[Libyan Desert]]. [[Mummified]] remains of its crew, who struggled for a week without water, were not found until [[1960]].<br /> *[[1944]]: Inventor and chemist [[Thomas Midgley, Jr.]], accidentally strangled himself with the cord of a [[pulley]]-operated mechanical bed of his own design.<br /> *[[1947]]: The [[Collyer brothers]], extreme cases of [[Compulsive hoarding|compulsive hoarders]] were found dead in their home in New York. The younger brother, Langley, died by falling victim to a booby trap he had set up, causing a mountain of objects, books, and newspapers to fall on him crushing him to death. His blind brother, Homer, who had depended on Langley for care, died of starvation some days later. Their bodies were recovered after massive efforts in removing many tons of debris from their home.<br /> *[[1960]]: In the [[Nedelin disaster]], over 100 Soviet [[rocket|missile]] technicians and officials died when a switch was turned on unintentionally igniting the rocket, including Red Army Marshal Nedelin who was seated in a deck chair just 40 meters away overseeing launch preparations. The events were filmed by automatic cameras.<br /> *[[1967]]: A flash fire began in the pure oxygen atmosphere during a training exercise inside the unlaunched [[Apollo 1]] spacecraft, killing Command Pilot [[Gus Grissom]], Senior Pilot [[Edward Higgins White|Ed White]], and Pilot [[Roger B. Chaffee]]. The door to the capsule was unable to be opened during the fire because of its specific design.<br /> *[[1967]]: [[Vladimir Komarov]] became the first person to die during a space mission after the parachute of his capsule failed to deploy.<br /> *[[1973]]: [[Péter Vályi]], finance minister of Hungary fell into a blast furnace (some sources say a pit of molten iron) on a visit to a steelworks factory at Miskolc.&lt;ref&gt;http://www.cherwell.org/features/how_would_you_like_to_die&lt;/ref&gt;&lt;ref&gt;http://www.brewlab.co.uk/pdf/back%20to%20school.pdf&lt;/ref&gt;&lt;ref&gt;http://www.rev.hu/html/en/films/industrial.htm&lt;/ref&gt;<br /> *[[1974]]: [[Christine Chubbuck]], an [[United States|American]] television [[news reporter]], committed [[suicide]] during a live broadcast on [[July 15]]. At 9:38 AM, 8 minutes into her talk show, on WXLT-TV in [[Sarasota]], [[Florida]], she drew out a [[revolver]] and shot herself in the head.<br /> *[[1975]]: On 24 March 1975 [[Alex Mitchell]], a 50-year-old bricklayer from [[King's Lynn]] literally died laughing whilst watching an episode of ''[[The Goodies]]''. According to his wife, who was a witness, Mitchell was unable to stop laughing whilst watching a sketch in the episode &quot;[[Kung Fu Kapers]]&quot; in which [[Tim Brooke-Taylor]], dressed as a kilted Scotsman, used a set of [[bagpipes]] to defend himself from a psychopathic [[black pudding]] in a demonstration of the Scottish martial art of &quot;Hoots-Toot-ochaye.&quot; After twenty-five minutes of continuous laughter Mitchell finally slumped on the sofa and expired from heart failure.<br /> *[[1977]]: [[Tom Pryce]], a [[Formula One]] driver, and a 19-year-old track marshal [[Jansen Van Vuuren]] both died at the [[1977 South African Grand Prix]] after Van Vuuren ran across the track beyond a blind brow to attend to another car which had caught fire and was struck by Pryce's car at approximately 170[[miles per hour|mph]]. Pryce was struck in the face by the marshal's [[fire extinguisher]] and was killed instantly.&lt;ref name=&quot;Tom Pryce death&quot;&gt;{{cite book |last=Tremayne |first= David|authorlink=David Tremayne |coauthors= |editor= |others= |title=The Lost Generation |origdate= |origyear= 2006 |origmonth=August|url= |format= |accessdate=2007-01-05 |accessyear= |accessmonth= |edition= |date= |year= |month= |publisher= Haynes Publishing|location= |language=English |isbn=1-84425-205-1 |oclc= |doi= |id= |pages= |chapter=Chapter 19 - A Moment Of Desperate Sadness|chapterurl= |quote=}}&lt;/ref&gt;<br /> *[[1978]]: [[Georgi Markov]], a [[Bulgarians|Bulgarian]] dissident, was assassinated by poisoning in [[London]] by an unknown assailant who jabbed him in the calf with a specially modified [[umbrella]] that fired a metal pellet with a small cavity full of [[ricin]] poison.<br /> *[[1978]]: [[Janet Parker]], a British medical photographer, died of [[smallpox]] in 1978, ten months after the disease was eradicated in the wild, when a researcher at the laboratory Parker worked at accidentally released some virus into the air of the building. She is believed to be the last smallpox fatality in history.<br /> *[[1981]]: A 25-year-old Dutch woman studying in [[Paris]], Renée Hartevelt, was killed and [[cannibalism|eaten]] by a classmate, [[Issei Sagawa]], when he invited her to dinner for a literary conversation. The killer was declared unfit to stand trial and extradited back to [[Japan]], where he was released from custody within fifteen months.<br /> *[[1981]]: [[Boris Sagal]], a motion picture-director, died while shooting the TV miniseries ''[[World War III (TV miniseries)|World War III]]'' when he walked into the tail-rotor blade of a helicopter and was decapitated. <br /> *[[1982]]: [[Vic Morrow]], [[actor]], was [[decapitation|decapitated]] by a [[helicopter]] blade during filming of ''[[Twilight Zone: The Movie]]'', along with two child actors, [[Myca Dinh Le]] and [[Renee Shin-Yi Chen]].<br /> *[[1982]]: [[Vladimir Smirnov (fencer)|Vladimir Smirnov]], an [[1980 Summer Olympics|Olympic champion]] [[Fencing (sport)|fencer]], died of [[brain damage]] nine days after his opponent's [[Foil (sword)|foil]] snapped during a match, pierced his eyeball and entered his [[brain]].<br /> *[[1983]]: A diver on the [[Byford Dolphin]] [[oil rig|oil exploration rig]] was violently dismembered and pulled through a narrowly opened hatch when the [[decompression chamber]] was accidentally opened, causing [[explosive decompression]].<br /> *[[1983]]: [[Tennessee Williams]], American playwright, died choking on a bottle cap. He was in a hotel but was too drunk to leave his room or make sufficient noise to attract attention.<br /> *[[1983]]: [[Sergei Chalibashvili]], a professional [[Diving|diver]], died after a diving accident during [[World University Games]]. When he attempted a three-and-a-half reverse [[somersault]] in the tuck position, he smashed his head on the board and was knocked unconscious. He died after being in a [[coma]] for a week.<br /> *[[1984]]: [[Jon-Erik Hexum]], an American television actor, died after he shot himself in the head with a prop gun during a break in filming. Hexum apparently did not realize that blanks use paper or plastic wadding to seal gun powder into the shell, and that this wadding is propelled out of the barrel of the gun with enough force to cause severe injury or death if the weapon is fired at point-blank range. <br /> *[[1986]]: While on the air giving a traffic report, the helicopter that [[Jane Dornacker]] was riding in stalled and crashed into the [[Hudson River]], killing her. This was the second helicopter crash she had been in that year.<br /> *[[1987]]: [[R. Budd Dwyer]], a [[Republican Party (United States)|Republican]] [[politician]], committed [[suicide]] during a televised [[press conference]]. Facing a potential 55-year jail sentence for alleged involvement in a [[Conspiracy (crime)|conspiracy]], Dwyer shot himself in the mouth with a [[revolver]].<br /> *[[1990]]: [[Joseph W. Burrus]], aged 32, an aspiring magician, decided to perform the &quot;[[buried alive]]&quot; illusion in a plastic box covered with cement. The cement crushed the box and he died of asphyxia.&lt;ref&gt;[http://www.snopes.com/horrors/freakish/onstage.htm Snopes.com], on a list of those who &quot;died on stage.&quot;&lt;/ref&gt;<br /> *[[1990]]: [[George Allen (football)|George Allen]], an American football coach, died a month after some of his players gave him a [[Gatorade Shower]] following a victory (as it is tradition in American Football). Some argue this resulted in [[pneumonia]].<br /> *[[1993]]: [[Brandon Lee]], son of Bruce Lee, was shot and killed by a prop [[.44 Magnum]] gun while filming the movie ''[[The Crow (film)|The Crow]]''. The gun was pre-loaded by the Weapons Master for the set, but the casing for the blank shattered upon firing and the fragments became instant projectiles. They pierced Brandon's chest in five places, some in the heart. It was not instantly recognized by the crew or other actors; they believed he was still acting. <br /> *[[1993]]: [[Garry Hoy]], a Toronto lawyer, fell to his death after he threw himself through the glass wall on the 24th floor of the [[Toronto-Dominion Centre]] in order to prove the glass was &quot;unbreakable&quot;.<br /> *[[1996]]: [[Sharon Lopatka]], an internet entrepreneur from Maryland who allegedly solicited a man via the Internet to torture and kill her for the purpose of sexual gratification. Her killer, Robert Fredrick Glass, was convicted of voluntary manslaughter for the homicide. <br /> *[[1998]]: [[Tom and Eileen Lonergan]] were stranded while [[scuba diving]] with a group of divers off [[Australia]]'s [[Great Barrier Reef]]. The group's boat accidentally abandoned them due to an incorrect head count taken by the dive boat crew. The couple was left to fend for themselves in [[shark]]-infested waters. Their bodies were never recovered. The incident is depicted in the film ''[[Open Water]]''.<br /> <br /> ===21st century===<br /> *[[2001]]: Bernd-Jürgen Brandes was stabbed repeatedly in the neck and then eaten by [[Armin Meiwes]]. Before the killing, both men dined on Brandes' severed penis. Brandes had answered an internet advertisement by Meiwes looking for someone for this purpose. Brandes explicitly stated in his will that he wished to be killed and eaten. This is referred to in the song &quot;Mein Teil&quot; by German [[Neue Deutsche Härte|NDH]] band [[Rammstein]].&lt;ref&gt;[http://news.bbc.co.uk/2/hi/europe/4752797.stm &quot;German cannibal guilty of murder&quot;], ''BBC News'', May 9, 2006&lt;/ref&gt;<br /> <br /> *[[2003]]: [[Brian Wells]], a [[pizza delivery]] man, was killed by a [[Time bomb (explosive)|time bomb]] which was fastened around his neck. He was apprehended by the [[police]] after robbing a [[bank]], and claimed he had been forced to do it by three people who had put the bomb around his neck and would kill him if he refused. The bomb later exploded, killing him.<br /> *[[2003]]: [[Brandon Vedas]] died of a [[drug overdose]] while engaged in an [[Internet chat]], as shown on his [[webcam]]. <br /> *[[2003]]: [[Timothy Treadwell]], an [[United States|American]] [[environmentalist]] who had lived in the wilderness among bears for thirteen summers in a remote region in [[Alaska]], was killed and partially consumed by bears, along with his girlfriend Amie Huguenard. The incident is described in [[Werner Herzog]]'s [[documentary film]] ''[[Grizzly Man]]''.&lt;ref&gt;Medred, Craig.''[http://www.adn.com/front/story/4110831p-4127072c.html Wildlife author killed, eaten by bears he loved]''. ''[[Anchorage Daily News]]''. October 8, 2003. Retrieved September 4, 2006.&lt;/ref&gt;<br /> *[[2005]]: [[Kenneth Pinyan]] of [[Seattle]] died of acute [[peritonitis]] after submitting to anal intercourse with a stallion in the town of [[Enumclaw, Washington]]. Pinyan had done this before, and he delayed his visit to the hospital for several hours out of reluctance for official cognizance. The case led to the criminalization of [[zoophilia|bestiality]] in [[Washington]].&lt;ref&gt;http://seattletimes.nwsource.com/html/localnews/2002569751_horsesex19m.html&lt;/ref&gt; His story was recounted in the [[2007]] documentary film ''[[Zoo (film)|Zoo]]''.<br /> *[[2005]]: 28-year-old [[South Korea|Korean]] video game addict [[Lee Seung Seop]] collapsed and died of fatigue in an Internet cafe after playing [[World of Warcraft]] for almost 50 consecutive hours.&lt;ref&gt;[http://www.timesonline.co.uk/article/0,,3-1729573,00.html &quot;Korean drops dead after 50-hour gaming marathon&quot;], ''Times Online'', August 10, 2005&lt;/ref&gt;<br /> *[[2006]]: [[Steve Irwin]], a television personality and naturalist known as [[The Crocodile Hunter]], died when his heart was impaled by a [[short-tail stingray]] barb while filming a documentary entitled &quot;Ocean's Deadliest&quot; in [[Queensland]]'s [[Great Barrier Reef]].&lt;ref&gt;http://www.theaustralian.news.com.au/story/0,20867,20355064-30417,00.html&lt;/ref&gt;<br /> *[[2006]]: [[Alexander Litvinenko]], a former [[Federal_Security_Service_of_the_Russian_Federation|FSB]] operative and Russian expatriate who had been investigating the murder of Russian journalist [[Anna Politkovskaya]], was [[radiation poisoning|poisoned]] by [[polonium|polonium-210]], an extremely rare radioactive [[metalloid]].&lt;ref&gt;[http://news.bbc.co.uk/2/hi/uk_news/6178890.stm Russian ex-spy dies in hospital]&lt;/ref&gt;<br /> *[[2006]]: [[Mariesa Weber]], a 5'3&quot; Florida woman, fell behind a 6' tall bookcase in her family's home and suffocated. She was not discovered for 11 days; her family thought she had been kidnapped.&lt;ref&gt;[http://news.bbc.co.uk/2/hi/americas/6185854.stm Bookcase 'trap' killed US woman]&lt;/ref&gt;<br /> *[[2007]]: [[Jennifer Strange]], a 28-year-old woman from [[Sacramento]], died of [[water intoxication]] while trying to win a [[Nintendo]] [[Wii]] in a [[KDND]] 107.9 &quot;The End&quot; radio station's &quot;Hold Your Wee for a Wii&quot; contest, which involved drinking large quantities of water without urinating.&lt;ref&gt;[http://www.latimes.com/news/printedition/california/la-me-water14jan14,1,1368543.story?coll=la-headlines-pe-california &quot;Woman dies after being in water-drinking contest&quot;], ''The Los Angeles Times'', January 14, 2007&lt;/ref&gt;<br /> *[[2007]]: [[Kevin Whitrick]], a 42-year-old man committed [[suicide]] live on a webcam during an internet chat session.<br /> *[[2007]]: [[Martin Harris (train surfer)|Martin Harris]], a [[Denmark|Danish]] [[train surfing|train surfer]], who published several video clips on the internet and was featured on regional TV for his sport, was killed during train surfing while passing under a low bridge.<br /> <br /> ==References==<br /> &lt;div class=&quot;references-small&quot;&gt;&lt;references/&gt;&lt;/div&gt;<br /> <br /> == See also ==<br /> * [[Toilet-related injury]]<br /> * [[List of inventors killed by their own inventions]]<br /> * [[Darwin Awards]]<br /> * [http://www.newsvoid.com/special/top10deaths.html Top 10 Strangest Deaths]<br /> * [[List of films by gory death scene]] for fictional unusual deaths<br /> <br /> {{DEFAULTSORT:Unusual}}<br /> <br /> [[Category:Lists of people by cause of death]]<br /> [[Category:Death-related lists]]<br /> <br /> [[es:Anexo:Fallecimientos extraños]]<br /> [[nl:Lijst van personen die op ongebruikelijke manier zijn overleden]]</div> Repku https://de.wikipedia.org/w/index.php?title=Liste_ungew%C3%B6hnlicher_Todesf%C3%A4lle&diff=137061713 Liste ungewöhnlicher Todesfälle 2007-06-01T07:24:04Z <p>Repku: /* Early Modern Times */</p> <hr /> <div>{{Dynamic list}}<br /> <br /> This is a '''list of unusual deaths''' &amp;ndash; unique causes or extremely rare circumstances &amp;ndash; recorded throughout history. The list also includes less rare, but still unusual, deaths of prominent persons.<br /> <br /> To be included on this list, an unusual death has to receive mention in the Wikipedia article of a person, or the death itself has to be the focus of a Wikipedia article. <br /> <br /> == Antiquity ==<br /> ''Note: Many of these stories are likely to be [[apocryphal]] (uncertain authenticity)''<br /> * [[586 BC]]: [[Zedekiah]], king of Jehudia, was punished for his attempt at mutiny by having his whole family brought before him and executed, his eyes then immediately punctured, his palms amputated and his mutilated body sent to rot in the dungeons.<br /> * [[458 BC]]: The Greek playwright [[Aeschylus]] was killed when an eagle dropped a live tortoise on him, mistaking his bald head for a stone.<br /> * [[270 BC]]: The poet and grammarian [[Philetas of Cos]] reportedly wasted away and died of [[insomnia]] while brooding about the [[Liar paradox]].&lt;ref&gt;Donaldson, John William and Müller, Karl Otfried. ''A History of the Literature of Ancient Greece'', p. 262. London: John W. Parker and Son, 1858.&lt;/ref&gt;<br /> *[[207 BC]]: [[Chrysippus]], a Greek [[stoic]] [[philosopher]], is believed to have [[Fatal hilarity|died of laughter]] after watching his drunken donkey attempt to eat figs.&lt;ref&gt;''ibid.'', p. 27.&lt;/ref&gt;<br /> *[[53 BC]]: Following his defeat at [[Battle of Carrhae|Carrhae]] at the hands of the [[Parthians]] under [[Spahbod]] [[Surena]], [[Marcus Licinius Crassus]] was executed by having [[molten]] [[gold]] poured down his throat. Some accounts claim that his head was then cut off and used as a stage prop in a play performed for the Parthian king [[Orodes II]].<br /> *[[48 BC]]: The Roman general [[Pompey]], fleeing to Egypt after being defeated at the [[Battle of Pharsalus]] by his rival [[Julius Caesar]], was stabbed, killed, and decapitated: his head was then preserved in a jar by the young king [[Ptolemy XIII]] and presented to Caesar, with whom he intended to ingratiate himself. Caesar was not pleased.<br /> *[[43 BC]]: [[Cicero]], the great Roman statesman, was labelled an enemy of the state by the [[Second Triumvirate]]. Like all those [[Proscription|proscribed]] by the Triumvirate, he was hunted down and killed; his severed hands and head were then displayed on the [[Rostra]] in the [[Forum (Roman)|Forum]] for several days, during which time [[Fulvia]], wife of [[Mark Antony]], is supposed to have stabbed his once-skilled tongue several times with a hairpin.<br /> *[[42 BC]]: [[Porcia Catonis]], wife of [[Marcus Junius Brutus]], killed herself by supposedly swallowing hot coals after hearing of her husband's death; however, modern historians claim that it is more likely that she poisoned herself with carbon monoxide, by burning coals in an unventilated room.<br /> *[[4 BC]]: [[Herod the Great]] suffered from fever, intense rashes, colon pains, [[foot drop]], inflammation of the abdomen, a putrefaction of his genitals that produced worms, convulsions, and difficulty breathing before he finally gave up. &lt;ref&gt;Flavius Josephus, Jewish Antiquities, Book 17, Chapter 6&lt;/ref&gt; Similar symptoms-- abdominal pains and worms-- accompanied the death of his grandson [[Herod Agrippa]] in [[44]] AD, after he had imprisoned [[St Peter]]. At various times each of these deaths has been considered divine retribution.<br /> *[[64]] - [[67]]: [[St Peter]] was executed by the Romans. According to many sources, he asked not to be [[crucifixion|crucified]] in the normal way, but was instead executed on an [[Cross of St. Peter|inverted cross]]. This is the only recorded instance of this type of crucifixion.<br /> *[[69]]: The short-time Roman emperor [[Galba]] was killed after becoming extremely unpopular with both the Roman people and the Praetorian guard-- however, 120 different people claimed credit for having killed him. All of these names were recorded in a list and they all were later themselves executed by the emperor [[Vitellius]].<br /> *[[258]]: [[St Lawrence]] was martyred by being burned or 'grilled' on a large metal gridiron at Rome. Images of him often show him holding the instrument of his martyrdom. Legend says that he was so strong-willed that instead of giving in to the Romans and releasing information about the Church, at the point of death he exclaimed &quot;I am done on this side! Turn me over and eat.&quot;<br /> *[[260]]: According to some accounts, [[Roman Empire|Roman]] emperor [[Valerian (emperor)|Valerian]], after being defeated in battle and captured by the [[Sassanid dynasty|Persians]], was used as a footstool by their king [[Shapur I of Persia|Shapur I]]. After a long period of mistreatment and humiliation, he offered Shapur a huge ransom for his release. In reply, Shapur had molten [[gold]] poured down Valerian's throat. He then had the unfortunate emperor skinned and his skin stuffed with straw or dung and preserved as a trophy in the main [[Persian]] temple. Only after Persia's defeat in their last war with Rome three and a half centuries later was his skin given a cremation and burial.&lt;ref&gt;[[Lactantius]], ''De Mortibus Persecutorum'', v; Wickert, L., &quot;Licinius (Egnatius) 84&quot; in ''[[Pauly-Wissowa|Pauly-Wissowa, Realencyclopädie]]'' 13.1 (1926), 488-495; Parker, H., ''A History of the Roman World A.D. 138 to 337'' (London, 1958), 170. From [http://www.roman-emperors.org/gallval.htm].&lt;/ref&gt; (Interestingly, a recent report from Iran mentions the restoration of a bridge supposed to have been built by Valerian and his soldiers for Shapur in return for their freedom.&lt;ref&gt;[http://www.presstv.ir/detail.aspx?id=1171&amp;sectionid=351020107 &quot;Iran to restore ancient bridge built by captive Roman emperor&quot;] ''Press TV'', 02 Mar 2007&lt;/ref&gt;<br /> <br /> *[[415]]: The Greek mathematician and philosopher [[Hypatia of Alexandria]] was murdered by a mob by having her skin ripped off with sharp oyster-shells and what remained of her being burned.<br /> <br /> == Middle Ages == <br /> *[[1016]]: [[Edmund II of England]] was rumoured to have been stabbed in the gut or bowels while he was performing his [[ablution]]s.&lt;ref&gt;[[Henry of Huntingdon]] (tr. Thomas Forester). ''The Penis of Henry of Huntingdon'', p. 196. London: Henry G. Bohn, 1853.&lt;/ref&gt;<br /> *[[1277]]: [[Pope John XXI]] was killed in the collapse of his scientific [[laboratory]].&lt;ref&gt;Darras, Joseph Epiphane and White, Charles Ignatius. ''A General History of the Catholic Church: From the Life of the Christian Era to the Twentieth Century'', pp. 406-7. New York: P. J. Kennedy, 1898.&lt;/ref&gt;<br /> *[[1305]]: Scottish patriot [[Sir William Wallace]] was stripped naked and dragged through the city at the heels of a horse. He was hanged, drawn and quartered — strangled by hanging but released while still alive, emasculated, eviscerated and his bowels burnt before him, beheaded, then cut into four parts.<br /> *[[1327]]: [[Edward II of England]], after being deposed and imprisoned by his [[Queen consort]] [[Isabella of France|Isabella]] and her lover [[Roger Mortimer, 1st Earl of March|Roger Mortimer]], was rumored to have been murdered by having a red-hot iron inserted into his anus.&lt;ref&gt;{{cite book |last=Schama |first=Simon |authorlink= |coauthors= |title=A History of Great Britain: 3000BC-AD1603|year=2000 |publisher=BBC Worldwide |location= London|id= }} p.220&lt;/ref&gt;<br /> *[[1478]]: [[George Plantagenet, 1st Duke of Clarence|George Plantagenet]], [[Duke of Clarence]] reportedly was executed by drowning in a barrel of [[Malvasia|Malmsey wine]]&lt;ref&gt;Thompson, C. J. S. ''Mysteries of History with Accounts of Some Remarkable Characters and Charlatans'', pp. 31 ''ff.'' Kila, MT: Kessinger Publishing, 2004.&lt;/ref&gt; at his own request.<br /> <br /> == Early Modern Times ==<br /> *[[1559]]: [[Henry II of France|King Henry II]] of France was killed during a stunt knight's [[jousting]] match, when his helmet's soft golden grille gave way to a broken lancetip which pierced his eye and entered his brain. <br /> *[[1601]]: [[Tycho Brahe]], according to legend, died of complications resulting from a strained bladder at a banquet. It would have been extremely bad etiquette to leave the table before the meal was finished, so he stayed until he became fatally ill. This version of events has since been brought into question as other causes of death (murder by [[Johannes Kepler]], [[suicide]], and lead poisoning among others) have come to the fore.&lt;ref&gt;[http://scienceworld.wolfram.com/biography/Brahe.html]&lt;/ref&gt;<br /> *[[1671]]: [[François Vatel]], chef to [[Louis XIV of France|Louis XIV]], committed suicide because his seafood order was late and he couldn't stand the shame of a postponed meal. His body was discovered by an aide, sent to tell him of the arrival of the fish.&lt;ref&gt;[http://www.bartleby.com/65/va/Vatel-Fr.html Bartelby], but it states the authenticity is doubtful.&lt;/ref&gt;<br /> *[[1687]]: [[Jean-Baptiste Lully]], [[composer]], died of a [[gangrene|gangrenous]] [[abscess]] after piercing his foot with a staff while he was vigorously conducting a ''[[Te Deum]]''. The performance was to celebrate the king's recovery from an illness.&lt;ref&gt;[http://www.vanderbilt.edu/htdocs/Blair/Courses/MUSL243/lullbio.htm Biography at Vanderbilt University]&lt;/ref&gt;<br /> *[[1753]]: Professor [[Georg Wilhelm Richmann]], of [[Saint Petersburg]], [[Russian Empire|Russia]], was struck and killed by a globe of [[ball lightning]] while observing a storm.&lt;ref&gt;[http://www.physicstoday.org/vol-59/iss-1/p42.html]&lt;/ref&gt;<br /> *[[1771]]: King of [[Sweden]], [[Adolf Frederick of Sweden|Adolf Frederick]], died of digestion problems on [[February 12]], 1771 after having consumed a meal consisting of [[lobster]], [[caviar]], [[sauerkraut]], smoked [[herring]] and [[champagne (beverage)|champagne]], which was topped off with 14 servings of his favourite [[dessert]]: [[semla]] served in a bowl of hot [[milk]]. He is thus remembered by Swedish schoolchildren as &quot;the king who ate himself to death.&quot; {{cn}}<br /> <br /> == Modern Age ==<br /> ===19th century===<br /> *[[1830]]: [[William Huskisson]], statesman and financier, was crushed to death by the world's first passenger train (Stephenson's Rocket), at its public opening.<br /> *[[1834]]: [[David Douglas (botanist)|David Douglas]], [[Scottish people|Scottish]] [[botanist]], fell into a pit trap accompanied by a bull. He was mauled and possibly crushed.&lt;ref&gt;[http://www.life.umd.edu/emeritus/reveal/PBIO/LnC/douglas.html University of Maryland]: The source is uncertain if the bull fell in before or after him.&lt;/ref&gt;<br /> *[[1841]]: [[William Henry Harrison]], the 9th [[President of the United States]], died of [[pneumonia]] one month after delivering his two-hour inauguration speech in cold weather without an overcoat.<br /> *[[1868]]: [[Matthew Vassar]], brewer and founder of [[Vassar College]], died in mid-speech while delivering his [[Farewell speech|farewell address]] to the College [[Trustee|Board of Trustees]].<br /> *[[1884]]: [[Allan Pinkerton]], [[detective]], died of [[gangrene]] resulting from having bitten his [[tongue]] after stumbling on the [[sidewalk]].&lt;ref&gt;[http://heritage.scotsman.com/greatscots.cfm?id=441632005 Scotsman.com]&lt;/ref&gt;<br /> *[[1899]]: French president [[Félix Faure]] died of a stroke while receiving [[oral sex]] in his office.<br /> <br /> ===20th century===<br /> * A number of performers have died of natural causes during public performances, including:<br /> **[[1943]]: Critic [[Alexander Woollcott]] suffered a fatal heart attack during an on-air discussion about [[Adolf Hitler]].&lt;ref&gt;[http://www.bbc.co.uk/dna/h2g2/alabaster/A662230 BBC]&lt;/ref&gt;<br /> **[[1958]]: [[Gareth Jones (actor)|Gareth Jones]], actor, collapsed and died while in make-up between scenes of a [[live television]] play, ''Underground'', at the studios of [[Associated British Corporation]] in [[Manchester]]. Director [[Ted Kotcheff]] continued the play to its conclusion, improvising around Jones's absence.<br /> **[[1960]]: [[Baritone]] [[Leonard Warren]] collapsed on the stage of the [[New York Metropolitan Opera]] of a major stroke during a performance of ''[[La forza del destino]]''. According to legend, the last line he sang was &quot;Morir? Tremenda cosa.&quot; (&quot;To die? A tremendous thing.&quot;) However, witnesses say he was just past that aria and his actual last line was &quot;Gioia, o gioia!&quot; (Joy, oh joy!)<br /> **[[1971]]: [[Jerome Irving Rodale]], an [[United States|American]] pioneer of [[organic farming]], died of a heart attack while being interviewed on ''[[The Dick Cavett Show]]''. When he appeared to fall asleep, Cavett quipped &quot;Are we boring you, Mr. Rodale?&quot;.&lt;ref&gt;http://www.snopes.com/horrors/freakish/onstage.htm&lt;/ref&gt; The show was never broadcast.<br /> **[[1984]]: [[Tommy Cooper]] collapsed from a massive heart attack in front of millions of television viewers, midway through his act, on the popular [[ITV]] variety show, [[Live from Her Majesty's]]. At first the audience assumed he was joking.<br /> **[[1987]]: [[Dick Shawn]], a comedian who starred in the [[1968]] movie [[The Producers]], died on stage of a heart attack. While portraying a politician, he announced, &quot;if elected, I will not lay down on the job,&quot; then lay down on stage and never stood back up.<br /> <br /> * A number of performers have died from unnatural causes during a practice or public performance, including:<br /> **[[1925]]: [[Zishe Breitbart|Zishe (Siegmund) Breitbart]], a circus strongman and Jewish folklore hero died during a demonstration in which he drove a spike through five one-inch thick oak boards using only his bare hands when his knee was accidentally pierced. The spike was rusted and caused an infection which led to fatal blood poisoning. He was the subject of the [[Werner Herzog]] film, ''[[Invincible (2001 film)|Invincible]]''.<br /> **[[1972]]: [[Leslie Harvey]], guitarist of [[Stone the Crows]] was electrocuted on stage by a live microphone.<br /> **[[1976]]: [[Keith Relf]], former singer for British [[rhythm and blues]] band [[The Yardbirds]], died while practicing his electric guitar, electrocuted because the guitar was not properly grounded.&lt;ref&gt;http://www.elvispelvis.com/electrocuted.htm&lt;/ref&gt;<br /> **[[1999]]: [[Owen Hart]], a professional wrestler for [[World Wrestling Entertainment|WWE]] died during a Pay-Per-View event when performing a stunt. It was planned to have Owen come down from the rafters of the [[Kemper Arena]] on a safety harness tied to a rope to make his ring entrance. The safety latch was released and Owen dropped 78 feet into the wrestling ring. The PPV continued even after he was pronounced dead.<br /> <br /> *[[1911]]: [[Jack Daniel]], founder of the [[Tennessee whiskey]] distillery, died of [[blood poisoning]] six years after receiving a [[toe]] injury when he kicked his safe in anger at being unable to remember its combination code.&lt;ref&gt;Haig, Matt. ''Brand Royalty: how the world's top 100 brands thrive and survive'', p. 197. London: Kogan Page, 2004.&lt;/ref&gt;<br /> *[[1912]]: Tailor [[Franz Reichelt]] fell to his death off the first deck of the Eiffel Tower while testing his invention, the coat parachute. It was his first ever attempt with the parachute and he'd told the authorities in advance he would test it first with a dummy.<br /> *[[1916]]: [[Grigori Rasputin]], [[Russia]]n [[mysticism|mystic]], died of [[drowning]] while trapped under ice. Although the details of his murder are disputed, he was allegedly placed in the water through a hole in the winter ice when he stubbornly refused to die after having been poisoned, bludgeoned, castrated, and shot multiple times in the head, lung, and liver.<br /> *[[1920]]: Baseball player [[Ray Chapman]] was killed when he was hit in the head by a pitch.<br /> *[[1923]]: [[George Herbert, 5th Earl of Carnarvon]] becomes the first to die from [[Curse of the Pharaohs|King Tut's Curse]] after a mosquito bite on his face becomes seriously infected.<br /> *[[1923]]: [[Frank Hayes (jockey)|Frank Hayes]], [[jockey]], suffered a [[Myocardial infarction|heart attack]] during a [[Horse-racing|horse race]]. The horse, ''[[Sweet Kiss (horse)|Sweet Kiss]]'', went on to finish first, making Hayes the only deceased jockey to win a race.<br /> *[[1927]]: [[J.G. Parry-Thomas]], a British racing driver, was decapitated by his car's drive chain which, under stress, snapped and whipped into the cockpit. He was attempting to break his own [[Land speed record]] which he had set the previous year. Despite being killed in the attempt, he succeeded in setting a new record of 171 mph.&lt;ref&gt;Reynolds, Barbara. ''Dorothy L. Sayers: her life and soul'', p. 162. New York: St. Martin's Press, 1997.&lt;/ref&gt;<br /> *[[1927]]: [[Isadora Duncan]], [[dancer]], died of accidental [[strangulation]] and [[cervical fracture|broken neck]] when her [[scarf]] caught on the wheel of a [[automobile|car]] in which she was a passenger.&lt;ref&gt;[http://www.newsroom.ucla.edu/page.asp?RelNum=6970 UCLA newsroom]&lt;/ref&gt; <br /> *[[1928]]: [[Alexander Bogdanov]], a Russian physician, died following one of his experiments, in which the blood of a student suffering from [[malaria]] and [[tuberculosis]], L. I. Koldomasov, was given to him in a transfusion.&lt;ref&gt;Bogdanov, Alexander (tr. &amp; ed. Douglas W. Huestis). ''The Struggle for Viability: Collectivism Through Blood Exchange'', p. 7. Tinicum, PA: Xlibris Corporation, 2002.&lt;/ref&gt;<br /> *[[1933]]: [[Michael Malloy]], a homeless man, was murdered by gassing after surviving multiple poisonings, intentional exposure and being struck by a car. Malloy was murdered by five men in a plot to collect on [[life insurance]] policies they had purchased.&lt;ref&gt;{{cite book |last=Read |first=Simon |authorlink= |coauthors= |title=The Bizarre Killing of Michael Malloy |year=2005 |publisher=Penguin Book Group |location= |id= }}&lt;/ref&gt;<br /> *[[1935]]: Baseball player [[Len Koenecke]] was bludgeoned to death with a fire extinguisher by the crew of an aircraft he had chartered, after provoking a fight with the pilot while the plane was in the air.<br /> *[[1941]]: [[Sherwood Anderson]], [[writer]], swallowed a [[toothpick]] at a party and then died of [[peritonitis]].&lt;ref&gt;[http://athena.english.vt.edu/~appalach/writersA/anderson.html Virginia Tech article]&lt;/ref&gt;<br /> *[[1943]]: [[Lady be Good (aircraft)|Lady be Good]], a [[United States Army Air Forces|USAAF]] B-24 bomber lost its way and crash landed in the [[Libyan Desert]]. [[Mummified]] remains of its crew, who struggled for a week without water, were not found until [[1960]].<br /> *[[1944]]: Inventor and chemist [[Thomas Midgley, Jr.]], accidentally strangled himself with the cord of a [[pulley]]-operated mechanical bed of his own design.<br /> *[[1947]]: The [[Collyer brothers]], extreme cases of [[Compulsive hoarding|compulsive hoarders]] were found dead in their home in New York. The younger brother, Langley, died by falling victim to a booby trap he had set up, causing a mountain of objects, books, and newspapers to fall on him crushing him to death. His blind brother, Homer, who had depended on Langley for care, died of starvation some days later. Their bodies were recovered after massive efforts in removing many tons of debris from their home.<br /> *[[1960]]: In the [[Nedelin disaster]], over 100 Soviet [[rocket|missile]] technicians and officials died when a switch was turned on unintentionally igniting the rocket, including Red Army Marshal Nedelin who was seated in a deck chair just 40 meters away overseeing launch preparations. The events were filmed by automatic cameras.<br /> *[[1967]]: A flash fire began in the pure oxygen atmosphere during a training exercise inside the unlaunched [[Apollo 1]] spacecraft, killing Command Pilot [[Gus Grissom]], Senior Pilot [[Edward Higgins White|Ed White]], and Pilot [[Roger B. Chaffee]]. The door to the capsule was unable to be opened during the fire because of its specific design.<br /> *[[1967]]: [[Vladimir Komarov]] became the first person to die during a space mission after the parachute of his capsule failed to deploy.<br /> *[[1973]]: [[Péter Vályi]], finance minister of Hungary fell into a blast furnace (some sources say a pit of molten iron) on a visit to a steelworks factory at Miskolc.&lt;ref&gt;http://www.cherwell.org/features/how_would_you_like_to_die&lt;/ref&gt;&lt;ref&gt;http://www.brewlab.co.uk/pdf/back%20to%20school.pdf&lt;/ref&gt;&lt;ref&gt;http://www.rev.hu/html/en/films/industrial.htm&lt;/ref&gt;<br /> *[[1974]]: [[Christine Chubbuck]], an [[United States|American]] television [[news reporter]], committed [[suicide]] during a live broadcast on [[July 15]]. At 9:38 AM, 8 minutes into her talk show, on WXLT-TV in [[Sarasota]], [[Florida]], she drew out a [[revolver]] and shot herself in the head.<br /> *[[1975]]: On 24 March 1975 [[Alex Mitchell]], a 50-year-old bricklayer from [[King's Lynn]] literally died laughing whilst watching an episode of ''[[The Goodies]]''. According to his wife, who was a witness, Mitchell was unable to stop laughing whilst watching a sketch in the episode &quot;[[Kung Fu Kapers]]&quot; in which [[Tim Brooke-Taylor]], dressed as a kilted Scotsman, used a set of [[bagpipes]] to defend himself from a psychopathic [[black pudding]] in a demonstration of the Scottish martial art of &quot;Hoots-Toot-ochaye.&quot; After twenty-five minutes of continuous laughter Mitchell finally slumped on the sofa and expired from heart failure.<br /> *[[1977]]: [[Tom Pryce]], a [[Formula One]] driver, and a 19-year-old track marshal [[Jansen Van Vuuren]] both died at the [[1977 South African Grand Prix]] after Van Vuuren ran across the track beyond a blind brow to attend to another car which had caught fire and was struck by Pryce's car at approximately 170[[miles per hour|mph]]. Pryce was struck in the face by the marshal's [[fire extinguisher]] and was killed instantly.&lt;ref name=&quot;Tom Pryce death&quot;&gt;{{cite book |last=Tremayne |first= David|authorlink=David Tremayne |coauthors= |editor= |others= |title=The Lost Generation |origdate= |origyear= 2006 |origmonth=August|url= |format= |accessdate=2007-01-05 |accessyear= |accessmonth= |edition= |date= |year= |month= |publisher= Haynes Publishing|location= |language=English |isbn=1-84425-205-1 |oclc= |doi= |id= |pages= |chapter=Chapter 19 - A Moment Of Desperate Sadness|chapterurl= |quote=}}&lt;/ref&gt;<br /> *[[1978]]: [[Georgi Markov]], a [[Bulgarians|Bulgarian]] dissident, was assassinated by poisoning in [[London]] by an unknown assailant who jabbed him in the calf with a specially modified [[umbrella]] that fired a metal pellet with a small cavity full of [[ricin]] poison.<br /> *[[1978]]: [[Janet Parker]], a British medical photographer, died of [[smallpox]] in 1978, ten months after the disease was eradicated in the wild, when a researcher at the laboratory Parker worked at accidentally released some virus into the air of the building. She is believed to be the last smallpox fatality in history.<br /> *[[1981]]: A 25-year-old Dutch woman studying in [[Paris]], Renée Hartevelt, was killed and [[cannibalism|eaten]] by a classmate, [[Issei Sagawa]], when he invited her to dinner for a literary conversation. The killer was declared unfit to stand trial and extradited back to [[Japan]], where he was released from custody within fifteen months.<br /> *[[1981]]: [[Boris Sagal]], a motion picture-director, died while shooting the TV miniseries ''[[World War III (TV miniseries)|World War III]]'' when he walked into the tail-rotor blade of a helicopter and was decapitated. <br /> *[[1982]]: [[Vic Morrow]], [[actor]], was [[decapitation|decapitated]] by a [[helicopter]] blade during filming of ''[[Twilight Zone: The Movie]]'', along with two child actors, [[Myca Dinh Le]] and [[Renee Shin-Yi Chen]].<br /> *[[1982]]: [[Vladimir Smirnov (fencer)|Vladimir Smirnov]], an [[1980 Summer Olympics|Olympic champion]] [[Fencing (sport)|fencer]], died of [[brain damage]] nine days after his opponent's [[Foil (sword)|foil]] snapped during a match, pierced his eyeball and entered his [[brain]].<br /> *[[1983]]: A diver on the [[Byford Dolphin]] [[oil rig|oil exploration rig]] was violently dismembered and pulled through a narrowly opened hatch when the [[decompression chamber]] was accidentally opened, causing [[explosive decompression]].<br /> *[[1983]]: [[Tennessee Williams]], American playwright, died choking on a bottle cap. He was in a hotel but was too drunk to leave his room or make sufficient noise to attract attention.<br /> *[[1983]]: [[Sergei Chalibashvili]], a professional [[Diving|diver]], died after a diving accident during [[World University Games]]. When he attempted a three-and-a-half reverse [[somersault]] in the tuck position, he smashed his head on the board and was knocked unconscious. He died after being in a [[coma]] for a week.<br /> *[[1984]]: [[Jon-Erik Hexum]], an American television actor, died after he shot himself in the head with a prop gun during a break in filming. Hexum apparently did not realize that blanks use paper or plastic wadding to seal gun powder into the shell, and that this wadding is propelled out of the barrel of the gun with enough force to cause severe injury or death if the weapon is fired at point-blank range. <br /> *[[1986]]: While on the air giving a traffic report, the helicopter that [[Jane Dornacker]] was riding in stalled and crashed into the [[Hudson River]], killing her. This was the second helicopter crash she had been in that year.<br /> *[[1987]]: [[R. Budd Dwyer]], a [[Republican Party (United States)|Republican]] [[politician]], committed [[suicide]] during a televised [[press conference]]. Facing a potential 55-year jail sentence for alleged involvement in a [[Conspiracy (crime)|conspiracy]], Dwyer shot himself in the mouth with a [[revolver]].<br /> *[[1990]]: [[Joseph W. Burrus]], aged 32, an aspiring magician, decided to perform the &quot;[[buried alive]]&quot; illusion in a plastic box covered with cement. The cement crushed the box and he died of asphyxia.&lt;ref&gt;[http://www.snopes.com/horrors/freakish/onstage.htm Snopes.com], on a list of those who &quot;died on stage.&quot;&lt;/ref&gt;<br /> *[[1990]]: [[George Allen (football)|George Allen]], an American football coach, died a month after some of his players gave him a [[Gatorade Shower]] following a victory (as it is tradition in American Football). Some argue this resulted in [[pneumonia]].<br /> *[[1993]]: [[Brandon Lee]], son of Bruce Lee, was shot and killed by a prop [[.44 Magnum]] gun while filming the movie ''[[The Crow (film)|The Crow]]''. The gun was pre-loaded by the Weapons Master for the set, but the casing for the blank shattered upon firing and the fragments became instant projectiles. They pierced Brandon's chest in five places, some in the heart. It was not instantly recognized by the crew or other actors; they believed he was still acting. <br /> *[[1993]]: [[Garry Hoy]], a Toronto lawyer, fell to his death after he threw himself through the glass wall on the 24th floor of the [[Toronto-Dominion Centre]] in order to prove the glass was &quot;unbreakable&quot;.<br /> *[[1996]]: [[Sharon Lopatka]], an internet entrepreneur from Maryland who allegedly solicited a man via the Internet to torture and kill her for the purpose of sexual gratification. Her killer, Robert Fredrick Glass, was convicted of voluntary manslaughter for the homicide. <br /> *[[1998]]: [[Tom and Eileen Lonergan]] were stranded while [[scuba diving]] with a group of divers off [[Australia]]'s [[Great Barrier Reef]]. The group's boat accidentally abandoned them due to an incorrect head count taken by the dive boat crew. The couple was left to fend for themselves in [[shark]]-infested waters. Their bodies were never recovered. The incident is depicted in the film ''[[Open Water]]''.<br /> <br /> ===21st century===<br /> *[[2001]]: Bernd-Jürgen Brandes was stabbed repeatedly in the neck and then eaten by [[Armin Meiwes]]. Before the killing, both men dined on Brandes' severed penis. Brandes had answered an internet advertisement by Meiwes looking for someone for this purpose. Brandes explicitly stated in his will that he wished to be killed and eaten. This is referred to in the song &quot;Mein Teil&quot; by German [[Neue Deutsche Härte|NDH]] band [[Rammstein]].&lt;ref&gt;[http://news.bbc.co.uk/2/hi/europe/4752797.stm &quot;German cannibal guilty of murder&quot;], ''BBC News'', May 9, 2006&lt;/ref&gt;<br /> <br /> *[[2003]]: [[Brian Wells]], a [[pizza delivery]] man, was killed by a [[Time bomb (explosive)|time bomb]] which was fastened around his neck. He was apprehended by the [[police]] after robbing a [[bank]], and claimed he had been forced to do it by three people who had put the bomb around his neck and would kill him if he refused. The bomb later exploded, killing him.<br /> *[[2003]]: [[Brandon Vedas]] died of a [[drug overdose]] while engaged in an [[Internet chat]], as shown on his [[webcam]]. <br /> *[[2003]]: [[Timothy Treadwell]], an [[United States|American]] [[environmentalist]] who had lived in the wilderness among bears for thirteen summers in a remote region in [[Alaska]], was killed and partially consumed by bears, along with his girlfriend Amie Huguenard. The incident is described in [[Werner Herzog]]'s [[documentary film]] ''[[Grizzly Man]]''.&lt;ref&gt;Medred, Craig.''[http://www.adn.com/front/story/4110831p-4127072c.html Wildlife author killed, eaten by bears he loved]''. ''[[Anchorage Daily News]]''. October 8, 2003. Retrieved September 4, 2006.&lt;/ref&gt;<br /> *[[2005]]: [[Kenneth Pinyan]] of [[Seattle]] died of acute [[peritonitis]] after submitting to anal intercourse with a stallion in the town of [[Enumclaw, Washington]]. Pinyan had done this before, and he delayed his visit to the hospital for several hours out of reluctance for official cognizance. The case led to the criminalization of [[zoophilia|bestiality]] in [[Washington]].&lt;ref&gt;http://seattletimes.nwsource.com/html/localnews/2002569751_horsesex19m.html&lt;/ref&gt; His story was recounted in the [[2007]] documentary film ''[[Zoo (film)|Zoo]]''.<br /> *[[2005]]: 28-year-old [[South Korea|Korean]] video game addict [[Lee Seung Seop]] collapsed and died of fatigue in an Internet cafe after playing [[World of Warcraft]] for almost 50 consecutive hours.&lt;ref&gt;[http://www.timesonline.co.uk/article/0,,3-1729573,00.html &quot;Korean drops dead after 50-hour gaming marathon&quot;], ''Times Online'', August 10, 2005&lt;/ref&gt;<br /> *[[2006]]: [[Steve Irwin]], a television personality and naturalist known as [[The Crocodile Hunter]], died when his heart was impaled by a [[short-tail stingray]] barb while filming a documentary entitled &quot;Ocean's Deadliest&quot; in [[Queensland]]'s [[Great Barrier Reef]].&lt;ref&gt;http://www.theaustralian.news.com.au/story/0,20867,20355064-30417,00.html&lt;/ref&gt;<br /> *[[2006]]: [[Alexander Litvinenko]], a former [[Federal_Security_Service_of_the_Russian_Federation|FSB]] operative and Russian expatriate who had been investigating the murder of Russian journalist [[Anna Politkovskaya]], was [[radiation poisoning|poisoned]] by [[polonium|polonium-210]], an extremely rare radioactive [[metalloid]].&lt;ref&gt;[http://news.bbc.co.uk/2/hi/uk_news/6178890.stm Russian ex-spy dies in hospital]&lt;/ref&gt;<br /> *[[2006]]: [[Mariesa Weber]], a 5'3&quot; Florida woman, fell behind a 6' tall bookcase in her family's home and suffocated. She was not discovered for 11 days; her family thought she had been kidnapped.&lt;ref&gt;[http://news.bbc.co.uk/2/hi/americas/6185854.stm Bookcase 'trap' killed US woman]&lt;/ref&gt;<br /> *[[2007]]: [[Jennifer Strange]], a 28-year-old woman from [[Sacramento]], died of [[water intoxication]] while trying to win a [[Nintendo]] [[Wii]] in a [[KDND]] 107.9 &quot;The End&quot; radio station's &quot;Hold Your Wee for a Wii&quot; contest, which involved drinking large quantities of water without urinating.&lt;ref&gt;[http://www.latimes.com/news/printedition/california/la-me-water14jan14,1,1368543.story?coll=la-headlines-pe-california &quot;Woman dies after being in water-drinking contest&quot;], ''The Los Angeles Times'', January 14, 2007&lt;/ref&gt;<br /> *[[2007]]: [[Kevin Whitrick]], a 42-year-old man committed [[suicide]] live on a webcam during an internet chat session.<br /> *[[2007]]: [[Martin Harris (train surfer)|Martin Harris]], a [[Denmark|Danish]] [[train surfing|train surfer]], who published several video clips on the internet and was featured on regional TV for his sport, was killed during train surfing while passing under a low bridge.<br /> <br /> ==References==<br /> &lt;div class=&quot;references-small&quot;&gt;&lt;references/&gt;&lt;/div&gt;<br /> <br /> == See also ==<br /> * [[Toilet-related injury]]<br /> * [[List of inventors killed by their own inventions]]<br /> * [[Darwin Awards]]<br /> * [http://www.newsvoid.com/special/top10deaths.html Top 10 Strangest Deaths]<br /> * [[List of films by gory death scene]] for fictional unusual deaths<br /> <br /> {{DEFAULTSORT:Unusual}}<br /> <br /> [[Category:Lists of people by cause of death]]<br /> [[Category:Death-related lists]]<br /> <br /> [[es:Anexo:Fallecimientos extraños]]<br /> [[nl:Lijst van personen die op ongebruikelijke manier zijn overleden]]</div> Repku https://de.wikipedia.org/w/index.php?title=Japanophilie&diff=183508923 Japanophilie 2007-05-13T22:48:41Z <p>Repku: </p> <hr /> <div>{{Not verified|date=March 2007}}<br /> <br /> [[Image:Lafcadio hearn.jpg|right|thumb|[[Lafcadio Hearn]], aka Koizumi Yakumo, a notable scholar and author well known for his strong interest in Japanese culture and books on Japan.]]<br /> <br /> A '''Japanophile''' (also known as a '''Nipponophile''') is a non-[[Japanese people|Japanese]] person with a strong interest in one or more aspects of [[Japan]] or [[Culture of Japan|Japanese culture]]. The word describes individuals who fall in one or more of the following categories:<br /> <br /> * Scholars on the [[History of Japan]] <br /> * Students of the [[Japanese language]]<br /> * Scholars on the [[Sociology]] of Japan<br /> * Fans of a particular aspect of Japanese culture<br /> <br /> Today, Japanophilia is becoming more common around the world, with the popularization of many Japanese cultural exports and Japanese pop culture, such as [[Zen Buddhism]], [[Japanese food]], [[J-Horror]], [[J-Pop]], [[anime]], [[manga]], and [[video game]]s. However, a strain of it has existed since the days of [[Lafcadio Hearn]], an Irish-American author who made his home in Japan in the 19th century. His writings were the first to introduce Japan's unique culture, folk beliefs, and practices to the wider world, and served as the inspiration for many Japanophiles in the West.<br /> <br /> In Asia, some Japanophiles exist in [[South Korea]], [[mainland China]], [[Taiwan]], [[Hong Kong]], especially among youths.{{Fact|date=March 2007}}<br /> <br /> ==See also==<br /> * [[Japonism]]<br /> * [[Asiaphile]]<br /> * [[Orientalism]]<br /> * [[Otaku]]<br /> <br /> ==External links==<br /> {{wiktionary}}<br /> *[http://www.washingtonpost.com/ac2/wp-dyn/A33261-2003Dec26?language=printer &quot;Japan's Empire of Cool&quot;], Washington Post<br /> <br /> [[Category:Japan in non-Japanese culture]]<br /> [[Category:Subcultures]]<br /> <br /> [[ko:친일파]]<br /> [[ja:親日派]]<br /> [[sv:Japanofil]]<br /> [[zh:亲日派]]</div> Repku https://de.wikipedia.org/w/index.php?title=Japanophilie&diff=183508921 Japanophilie 2007-05-13T22:48:14Z <p>Repku: </p> <hr /> <div>{{Not verified|date=March 2007}}<br /> <br /> [[Image:Lafcadio hearn.jpg|right|thumb|[[Lafcadio Hearn]], aka Koizumi Yakumo, a notable scholar and author well known for his strong interest in Japanese culture and books on Japan.]]<br /> <br /> A '''Japanophile''' (also known as a '''Nipponophile''') is a non-[[Japanese people|Japanese]] person with a strong interest in one or more aspects of [[Japan]] or [[Culture of Japan|Japanese culture]]. The word describes individuals who fall in one or more of the following categories:<br /> <br /> * Scholars on the [[History of Japan]] <br /> * Students of the [[Japanese language]]<br /> * Scholars on the [[Sociology]] of Japan<br /> * Fans of a particular aspect of Japanese culture<br /> <br /> Today, Japanophilia is becoming more common around the world, {{cn}} with the popularization of many Japanese cultural exports and Japanese pop culture, such as [[Zen Buddhism]], [[Japanese food]], [[J-Horror]], [[J-Pop]], [[anime]], [[manga]], and [[video game]]s. However, a strain of it has existed since the days of [[Lafcadio Hearn]], an Irish-American author who made his home in Japan in the 19th century. His writings were the first to introduce Japan's unique culture, folk beliefs, and practices to the wider world, and served as the inspiration for many Japanophiles in the West.<br /> <br /> In Asia, some Japanophiles exist in [[South Korea]], [[mainland China]], [[Taiwan]], [[Hong Kong]], especially among youths.{{Fact|date=March 2007}}<br /> <br /> ==See also==<br /> * [[Japonism]]<br /> * [[Asiaphile]]<br /> * [[Orientalism]]<br /> * [[Otaku]]<br /> <br /> ==External links==<br /> {{wiktionary}}<br /> *[http://www.washingtonpost.com/ac2/wp-dyn/A33261-2003Dec26?language=printer &quot;Japan's Empire of Cool&quot;], Washington Post<br /> <br /> [[Category:Japan in non-Japanese culture]]<br /> [[Category:Subcultures]]<br /> <br /> [[ko:친일파]]<br /> [[ja:親日派]]<br /> [[sv:Japanofil]]<br /> [[zh:亲日派]]</div> Repku https://de.wikipedia.org/w/index.php?title=Masaki_Sumitani&diff=51353183 Masaki Sumitani 2006-12-01T01:12:55Z <p>Repku: /* Criticisms */</p> <hr /> <div>[[Image:Hardgay.jpg|thumb|250px|A picture of Hard Gay in action, taken from the [[Japanese media|Japanese television]] show [[:ja:爆笑問題のバク天!|Bakuten]]. The purple text reads, &quot;Welcome to the 'Hard Gay' stand.&quot; ('Stand' being short for ガソリンスタンド gasoline stand or gasoline station)]]<br /> <br /> '''Razor Ramon HG''' (レイザーラモン HG、occasionally Razor Ramon Sumitani) is the performing name of '''Masaki Sumitani''' (住谷正樹 Sumitani Masaki), a [[list of Japanese comedians|Japanese comedian]], [[wrestler]] and ''[[tarento]]'' (&quot;talent&quot;). His act gained national attention and popularity when featured on the &quot;[[Bakusho Mondai|Bakushō Mondai]] no Bakuten!&quot; (Daibakuten) Saturday [[variety show]] on [[Tokyo Broadcasting System|TBS Television]] in [[Japan]], in [[2005]]. He should not be confused with American professional wrestler [[Scott Hall]], whose use of the &quot;Razor Ramon&quot; stage name predates Sumitani's. Although the [[WWE]] has trademarked the name &quot;Razor Ramon&quot; they have not responded against HG using the name Razor Ramon HG.<br /> <br /> ==Early career==<br /> Masaki Sumitani was born [[December 18]], [[1975]] in [[Kakogawa, Hyogo|Harima]], [[Hyogo Prefecture]], [[Japan]]. After graduating from Higashi Kakogawa High School, he entered [[Doshisha University]] and majored in [[Commerce]]. While at college he picked up wrestling as a hobby, and soon joined the Doshisha Professional Wrestling Alliance (DWA). Under his performing name “GiveUp Sumitani,” he won the heavy class Kyoto pro-wrestling championship co-hosted by DWA and the Ritsumeikan Wrestling Alliance (RWA) of nearby [[Ritsumeikan University]] in [[Kyoto]].<br /> <br /> It was through wrestling in their college years, that Sumitani met [[Makoto Izubuchi]], with whom he would later form the comedy duo &quot;Razor Ramon&quot; in [[1997]]. During their college years, Razor Ramon won the &quot;Fukuwarai award&quot; in the Imamiya Kids' Ebisu Manzai Contest&lt;!--what is this contest?--&gt;, and gained experience on the stage through the audition live performance “SABUKI” at &quot;[[2chome-gekijo]]&quot;, an [[Osaka]] comedy club opened by the [[Yoshimoto Kogyo]] comedy troupe at which many comedians from the [[Kansai]] area start their career.<br /> <br /> After completing his university education, Sumitani got a job at CO-OP KOBE, as a grocery delivery man. His desire to pursue a career as a professional comedian led him to quit his job after four months, when he joined [[Yoshimoto Kogyo]] with his partner Makoto Izubuchi. &quot;Razor Ramon&quot; made their TV debut in 1999, and won the &quot;Judges Special Award&quot; in the &quot;ABC Owarai (Comedy) Grand-Prix&quot; in 2000. Both Sumitani and Izubuchi joined the Yoshimoto Kogyo-produced program [[Yoshimoto Shin-kigeki]], one of the most popular comedy stage acts in Japan, in 2001, often playing [[yakuza]], [[salaryman]], [[udon]] restaurant owners, construction workers, and others.<br /> <br /> Sumitani continued his wrestling aspirations in late 2005, working in the comedically off-beat [[HUSTLE]] promotion and defeating [[Yinling|Yinling the Erotic Terrorist]] in his debut match; he has since gone to team with [[Naoya Ogawa]] and [[Yoshihiro Tajiri]] in leading the HUSTLE Army against [[Nobuhiko Takada|Generalissimo Takada]]'s Monster Army.<br /> <br /> The most well-known character developed and portrayed by Sumitani is '''Hard Gay''' (ハードゲイ), introduced in 2002, as whom he finally rose to national prominence in 2005. While the official name is &quot;Razor Ramon HG&quot;, he is most frequently known as &quot;Hard Gay&quot;, or simply HG. Dressing in a tight black [[leather]] outfit reminiscent of the [[Tom of Finland]] art, he goes around performing acts of charity (''yonaoshi'', &quot;social improvement&quot;) for unsuspecting bystanders while performing trademark [[pelvic thrust]]s and vocalisations, often accompanied by &quot;[[Livin' La Vida Loca]]&quot; by [[Ricky Martin]]&lt;!--HG is accompanied by Livin' La Vida Loca, not Hiromi Go's Goldfinger '99 which is a cover of Ricky Martin's song. The Hiromi Go thing was only for one episode. --&gt;.<br /> <br /> According to some accounts the name Hard Gay was the suggestion of Sumitani's senior comedian in the Yoshimoto Kogyo group, [[Kendo Kobayashi]], in reference to his &quot;hard&quot; dancing. The name has also been described as a pun on 芸, &quot;gei&quot;, which means &quot;skill&quot; or &quot;art&quot;. However, to develop his character, Sumitani visited gay bars in Doyama-cho, [[Osaka]]’s biggest gay area, and his costume, which consists of hot pants, a small vest, and cap, all in black leather, along with aviator sunglasses, was purchased at a shop called &quot;VFTQ&quot; in Minami-Horie, Osaka, which specializes in gay fashion.<br /> <br /> Hard Gay makes regular use of a number of [[catch phrase]]s in his act; he usually makes his entrance in front of the camera shouting &quot;Dōmō Hādogei dēsu&quot; (Hello, this is Hard Gay), with arms thrust out and a spin afterwards. His self-introduction is then followed by his famous “dance” moves. He often shouts &quot;Fuuuuuu&quot; (フゥ~!) or &quot;Foohhhh!&quot; (フォー!), a [[running joke]] in his performances. He often stops people saying unfavourable things to him by shouting “sei sei sei sei sei” with his palm in front of the person’s face. Whether this means anything is debatable, although Sumitani has commented that “sei sei” is something that comes out from his mouth when he is not happy, and that he does not mean &quot;''[[Wiktionary:say|say]]''&quot; as in to [[Speech|speak something]], although one might compare this action to the popular &quot;Talk to the hand&quot;. A possible interpretation might be that the origin lies in the word &quot;urusai&quot; (lit. noisy, meaning &quot;be quiet!&quot;), which is often pronounced ''urusē'' うるせー in [[Kansai dialect]], shortened to &quot;sei&quot;. Another theory is the word &quot;sei&quot; written by [[kanji]] 静, meaning &quot;quiet&quot;. Also, &quot;sei&quot; 性, means &quot;sex&quot; or &quot;gender&quot; in Japanese.<br /> <br /> He recently started working with &quot;Razor Ramon&quot; [[manzai]] partner Makoto Izubuchi again, with Izubuchi taking the name [[Makoto Izubuchi|Razor Ramon RG]] (RG meaning &quot;Real Gay&quot;). He was brought in on the gimmick after it gained immense popularity. Izubuchi's character wasn't nearly as well received as Sumitani's, and has since faded into obscurity.<br /> <br /> It is now common knowledge that Hard Gay is not in fact homosexual nor particularly outrageous, but a rather ordinary male comedian who is merely milking a character that led him to success. Television programs in which he has appeared have increasingly made reference to this, and he himself has significantly reduced his &quot;comic&quot; gay mannerisms in live appearances on variety and other types of programs. While this initially increased his popularity, it remains to be seen how long he can remain viable as the Hard Gay persona. His recent marriage, as is the case with [[tarento]] that get married in the midst of their careers, has caused a decline in his appearances and popularity.<br /> <br /> ==Criticisms==<br /> Sumitani is not [[gay]]; His supposed [[homosexuality]] was exposed as a gimmick when he was caught in the midst of a date, with Japanese actress and swimsuit model [[Anna Suzuki]]&lt;!--Anne Suzuki and Anna Suzuki are different people. Both are not related. Please don't be confused! If you're still not sure read the following article linked as the source for where news of his marriage comes from.--&gt;, whom he has since married[http://mdn.mainichi-msn.co.jp/national/news/20060810p2a00m0et010000c.html] He has been criticised for his stereotypical depiction of gay men and for building a career on parodying a social minority with &quot;bizarre and extreme&quot; antics [http://www.asahi.com/english/Herald-asahi/TKY200512170192.html]. Hard Gay is not as popular among Japanese gays, and his best-selling book did not sell well in gay areas.{{fact}}<br /> <br /> A spokesperson for the Hokkaido Sexual Minority Association Sapporo Meeting, a support group for gay, lesbian and transgender people, has said that &quot;Hard Gay's acceptance by the Japanese public shows me that there is a strong tendency here to see homosexuality as something to be laughed at. That is sad&quot; [http://search.japantimes.co.jp/cgi-bin/fl20060319x1.html].<br /> <br /> Openly lesbian Osaka Prefectural Assemblywoman [[Kanako Otsuji]] has been quoted as saying:<br /> <br /> &lt;blockquote&gt;[The way the media treats sexual minorities] makes me angry. This morning I saw [comedian] Razor Ramon for the first time. I never watch TV. I'd only heard about him. He's not homosexual. He just uses gayness for his act, to make people laugh. I'm afraid that people will get the idea that gay people are all like that, yelling and pumping their hips[http://humanrightsjapan.blogspot.com/2005_10_01_humanrightsjapan_archive.html].&lt;/blockquote&gt;<br /> <br /> &lt;!-- Unsourced image removed: [[Image:HGandRG.jpg|thumb|220px|A picture of Hard Gay and his old manzai partner Makoto Izubuchi at a dinner party. Izubuchi is now known as [[Makoto Izubuchi|Razor Ramon RG]] and is HG's partner and rival in the gimmick. They have been recently making the rounds on Japanese variety shows and commercials as a team.]] --&gt;<br /> <br /> ==Retirement==<br /> Daily Sports in Japan reports that Razor Ramon HG is retiring from pro wrestling after [[Hustle Mania]], which takes place 11/23 at [[Yokohama Arena]]. His retirement match is against [[The Esperanza]].<br /> <br /> ==Notes of interest==<br /> * The famous Japanese soccer player [[Hidetoshi Nakata]] was famously genuinely mistaken for Razor Ramon HG as he got off a plane in Japan. Nakata was wearing dark sunglasses at the time.<br /> * Mixed martial artist [[Kazushi Sakuraba]] dressed up as Hard Gay as part of his ring entrance at the [[PRIDE]] Itadaki 2005 event.<br /> * Sumitani released his first single entitled &quot;Young Man&quot; on February 8, 2006, which is a Japanese rendition of the [[Village People]]'s song &quot;[[YMCA (song)|YMCA]]&quot;.<br /> * Razor Ramon HG made a small cameo in the May 2006 chapter of [[Gantz]] (chapter 233), shown on a television in Kurono Kei's apartment.<br /> * He also made a small cameo in Episode 12 of [[Suzumiya Haruhi no Yuutsu]], at 2:29, with [[Akihiro Miwa]].<br /> * Some of the characters in the Japanese drama series '1 litre of tears' imitate Razor Ramon HG's signature pose and exclamations in episode 6.<br /> * HG claims that he has gay friends.<br /> * He is often compared to British comedian, [[Sacha Baron Cohen]]. Although Cohen interviews people in character, HG attempts to support people in character.<br /> * He is a regular performer with the [[HUSTLE]] Pro Wrestling group<br /> * The registration of his marriage to Anna Suzuki was announced on Thursday, [[August 10]], [[2006]]. Suzuki has stated she will end her modelling career after her commitments are finished and concentrate on starting a family.<br /> * In the anime [[Bokusatsu Tenshi Dokuro-chan]], the main character tells his love interest Dokuro in the final episode, &quot;I'll become gay for you, Dokuro! Hard Gay!&quot;<br /> <br /> ==Name Variants==<br /> Due to the lack of an L [[phoneme]] in Japanese ('R' and 'L' are equivalent in transliteration from English) and similarity between 'er' and 'or' in English, '''Hard Gay''' has a number of commonly used variants on official and fan sites. Even official '''Hard Gay''' merchandise has been known to use less common variants. The following have wide usage on the internet or appear on official merchandise and are listed in approximate order by popularity. Since '''Hard Gay''' also is commonly used for homosexual pornography, it is difficult to assess popularity of this name.<br /> * Laser Ramon<br /> * Razor Ramon<br /> * Razor Ramon Hard Gay<br /> * Razor Ramon HG (variant used in the press)<br /> * Razor Ramon Sumitani<br /> * Razor Ramon Sumitani HG<br /> * Razer Ramon<br /> * Lasor Ramon<br /> * Layzer Ramon<br /> <br /> ==References==<br /> * [http://www.fandango.co.jp/talent_prf/action/TalentProfileDetailSearchAction?unitId=20226&amp;talentId=0 Fandango Bio]<br /> <br /> ==External links==<br /> * {{en icon}} [http://mdn.mainichi-msn.co.jp/waiwai/face/archive/news/2005/20050720p2g00m0dm024000c.html MSN-Mainichi Daily News:Razor Ramon slices along Japan’s cutting edge]<br /> * {{en icon}} [http://www.videouncovered.com/adds/play_page.php?id_char=bakuten Videos of Razor Ramon HG]<br /> * {{en icon}} [http://www.thejapanesearecrazy.com/index.php?option=com_content&amp;task=category&amp;sectionid=4&amp;id=14&amp;Itemid=27 Razer Ramon Videos (Categorized)]<br /> * {{en icon}} [http://www.razoramon.com Bakafish Translations] &amp;ndash; Website for the subtitled HG clips.<br /> * {{es icon}} [http://www.kuraku-fansub.net Kuraku no Fansub] Website for the subtitled HG clips in spanish.<br /> * [http://www.hard-gay.org Hard-Gay.org] Hard Gay website with various high and low quality clips.<br /> <br /> [[Category:Japanese comedians|Sumitani, Masaki]]<br /> [[Category:Japanese professional wrestlers|Sumitani, Masaki]]<br /> [[Category:1975 births|Sumitani, Masaki]]<br /> [[Category:Living people|Sumitani, Masaki]]<br /> [[Category:People from Hyōgo Prefecture|Sumitani, Masaki]]<br /> <br /> [[es:Masaki Sumitani]]<br /> [[fr:Masaki Sumitani]]<br /> [[ja:住谷正樹]]</div> Repku