Quotient Representations of Uniform Tilings

Gordon Williams, Daniel Pellicer · arXiv (Cornell University) · 2009

Given a flag in each of the vertex-transitive tessellations of the Euclidean plane by regular polygons, we determine the flag stabilizer under the action of the automorphism group of a regular cover. In so doing we give a presentation of these tilings as quotients of regular (infinite) polyhedra.

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