Abstract: We present a simple representation for periodic tilings of the plane by regular polygons. Our approach is to represent explicitly a minimal subset of the vertices from which we ...

Polygons are two-dimensional geometric shapes enclosed by a series of straight lines called sides. They can be simple or complex, regular or irregular, and come in various forms like triangles, ...

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An illustration of a magnifying glass. An illustration of a magnifying glass.

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We want to assemble identical regular polygons in order to build closed chains of high symmetry. m is the number of vertices - meaning that we assemble m -gons in a "circular" way. A possible start is ...