Quotient Representations of Uniform Tilings
Combinatorics
2012-06-29 v1 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0910.4207,
title = {Quotient Representations of Uniform Tilings},
author = {Gordon Williams and Daniel Pellicer},
journal= {arXiv preprint arXiv:0910.4207},
year = {2012}
}
Comments
12 pages, 10 figures