Original scientific paper

https://doi.org/10.3336/gm.47.2.15

On the size of equifacetted semi-regular polytopes

Tomaž Pisanski ; Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
Egon Schulte ; Department of Mathematics, Northeastern University, Boston, Massachusetts, USA, 02115
Asia Ivić Weiss ; Department of Mathematics and Statistics, York University, Toronto, ON, Canada M3J 1P3

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.

Keywords

Semi-regular polytope; uniform polytope; Archimedean solid; abstract polytope

Hrčak ID:

93957

URI

https://hrcak.srce.hr/93957

Publication date:

19.12.2012.

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