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arxiv: 0910.4207 · v1 · pith:G6IIKQTGnew · submitted 2009-10-22 · 🧮 math.CO · math.GT

Quotient Representations of Uniform Tilings

classification 🧮 math.CO math.GT
keywords regularflagtilingsactionautomorphismcoverdeterminedoing
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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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