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Talk:Mandelbrot set/Archive 3

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This is an old revision of this page, as edited by Lowercase sigmabot III (talk | contribs) at 00:07, 29 January 2014 (Archiving 2 discussion(s) from Talk:Mandelbrot set) (bot). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
Archive 1Archive 2Archive 3Archive 4

Smooth coloring formula wrong

I don't know the right formula (it seems no one does) but the one given here is clearly wrong. Just take P-2, N=2, c=1.8 for example. In that case, one iteration (or two, depending how you count) gives z=5.04, which is over the bailout value of 2. Now, the log formula gives 1.2224, which is not in the range [0, 1) as specified. I wish someone who knows the correct algorithm (if any such person really exists) would fix this. Wikipedia readers are spreading this misinformation all over the web. 70.116.13.152 (talk) 03:31, 28 April 2013 (UTC)

Update: the August 2009 version seems to contain better information (it's certainly a different formula from this one, even after simplification, by at least a factor of 2 inside the outermost log, and it also explains that unusual bailouts are required for the smooth coloring algorithm, a crucial piece of information left out in the very poor article that exists today). I will nonetheless wait for a knowledgeable person to do something about it. 70.116.13.152 (talk) 03:49, 28 April 2013 (UTC)

Limit of. Iteration

Your last sentence of your. second paragraph should say the pixels are colored according to the number the sequence approaches. — Preceding unsigned comment added by Claustro123 (talk • contribs) 04:17, 8 March 2013 (UTC)

That is hardly possible, since the usual coloration is applied to points where the iteration diverges to infinity.--LutzL (talk) 13:55, 11 March 2013 (UTC)

Ugly picture

Look at http://en.wikipedia.org/wiki/File:Blue_Mandelbrot_Zoom.jpg. If you look closer, you can notice, that the rectangle in one picture does not strictly correspond to the following picture. The last picture is completely out of the blue, it has no telation whatsoever to the previous one and also has to few iterations. I find it disturbing. The picture has another version: http://commons.wikimedia.org/wiki/File:Mandelzoom.jpg which is slightly better, but suffers similar issues. Janek37 (talk) 21:21, 19 June 2013 (UTC)

It goes to a "personal" site. Is it ok? Tony (talk) 02:21, 9 July 2013 (UTC)

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