Glasnik matematički, Vol. 47 No. 2, 2012.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Semi-regular polytope; uniform polytope; Archimedean solid; abstract polytope
Hrčak ID:
93957
URI
Datum izdavanja:
19.12.2012.
Posjeta: 877 *