On the Size of Equifacetted Semi-Regular Polytopes

Details On the Size of Equifacetted Semi-Regular Polytopes On the Size of Equifacetted Semi-Regular Polytopes

2011-09-11

arxiv.org/abs/1109.2280v1

Mathematics

Combinatorics

Glasnik Matematicki, to appear, 10 pp

Scientific paper

Unlike the situation in the classical theory of convex polytopes, there is a
wealth of semi-regular abstract polytopes, including interesting examples
exhibiting some unexpected phenomena. We prove that even an equifacetted
semi-regular abstract polytope can have an arbitrary large number of flag
orbits or face orbits under its combinatorial automorphism group.

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