Wolfram Library Archive


Topic for September 29, 2004: Colored Zonotiles

Zonotile2 Russell Towle sent a very colorful notebook on Zonotiling.

The generalization of Penrose tilings by two rhombs, is a tiling by zonogons (paralled-sided, centrally-symmetrical polygons), in which rhombs, hexagons, octagons, decagons etc. of many shapes arise. These tilings are quasi-periodic, and are related to quasicrystals. Two constructions for such tilings were set forth by DeBruijn in 1981: the generalized dual method, and the generalized projection method. The former is implemented here.

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