Voderberg tiling
From Infogalactic: the planetary knowledge core
File:Voderberg-1.png
A partial Voderberg tiling. Note that all of the colored tiles are congruent.
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 prototile 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 Grünbaum and Geoffrey C. Shephard in the 1970s.[1] A Voderberg tiling is depicted on the cover of Grünbaum and Shephard's 1987 book Tilings and Patterns.[3]
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Wikimedia Commons has media related to Voderberg spiral tiling. |
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