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Paper detail

On the Size of Equifacetted Semi-Regular Polytopes

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.

preprint2011arXivOpen access
Tomaz PisanskiEgon SchulteAsia Ivic Weiss
math.COmath.MG
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Tomaz PisanskiEgon SchulteAsia Ivic Weiss

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