Some Monohedral Tilings Derived From Regular Polygons

Paul Gailiunas
Bridges Donostia: Mathematics, Music, Art, Architecture, Culture (2007)
Pages 9–14

Abstract

Some tiles derived from regular polygons can produce spiral tilings of the plane [1]. This paper considers some more general classes of tilings with tiles derived from regular polygons, some have central symmetry, many have periodic symmetry, some have both, and a few have no symmetry at all. Any of these tiling patterns could be the basis for some interesting mathematical art, for example by colouring or decorating the tiles.

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