Regular Polyhedra of Index Two, II - Mathematics > Metric GeometryReport as inadecuate




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Abstract: A polyhedron in Euclidean 3-space is called a regular polyhedron of index 2if it is combinatorially regular and its geometric symmetry group has index 2in its combinatorial automorphism group; thus its automorphism group isflag-transitive but its symmetry group has two flag orbits. The present papercompletes the classification of finite regular polyhedra of index 2 in 3-space.In particular, this paper enumerates the regular polyhedra of index 2 withvertices on one orbit under the symmetry group. There are ten such polyhedra.



Author: Anthony M. Cutler

Source: https://arxiv.org/







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