On the Size of Equifacetted Semi-Regular Polytopes
Combinatorics
2011-09-13 v1 Metric Geometry
Abstract
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.
Cite
@article{arxiv.1109.2280,
title = {On the Size of Equifacetted Semi-Regular Polytopes},
author = {Tomaz Pisanski and Egon Schulte and Asia Ivic Weiss},
journal= {arXiv preprint arXiv:1109.2280},
year = {2011}
}
Comments
Glasnik Matematicki, to appear, 10 pp