Voderberg tiling
The Voderberg tiling is a mathematical spiral tiling, invented in 1936 by mathematician Heinz Voderberg.[1] It is a monohedral tiling, meaning that it consists of only one shape, tessellated with congruent copies of itself. In this case, the tile is an elongated irregular enneagon, or nine-sided figure. Because it has no translational symmetries, the Voderberg tiling is technically non-periodic, even though it exhibits an obvious repeating pattern. This tiling was the first spiral tiling to be devised,[2] preceding later work by Branko Grunbaum and Geoffrey C. Shephard in the 1970s.[1]
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References
- ^ a b Pickover, Clifford A. (2009). The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics. Sterling Publishing Company, Inc. p. 372. ISBN 9781402757969. Retrieved 24 March 2015.
- ^ Dutch, Steven (29 July 1999). "Some Special Radial and Spiral Tilings". University of Wisconsin, Green Bay. Retrieved 24 March 2015.
- Grünbaum, Branko; Shephard, G. C. (1987), Tilings and Patterns, New York: W. H. Freeman, ISBN 0-7167-1193-1
