2 citations · 2 across the 5 of their papers we have counts for
4 papers · 1 filter
Hereditary Polytopes
Mark Mixer, Egon Schulte, Asia Ivic Weiss
Every regular polytope has the remarkable property that it inherits all symmetries of each of its facets. This property distinguishes a natural class of polytopes which are called…
On the Size of Equifacetted Semi-Regular Polytopes
Tomaz Pisanski, Egon Schulte, Asia Ivic Weiss
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 ph…
Problems on Polytopes, Their Groups, and Realizations
Egon Schulte, Asia Ivic Weiss
The paper gives a collection of open problems on abstract polytopes that were either presented at the Polytopes Day in Calgary or motivated by discussions at the preceding Workshop…
Semisymmetric Graphs from Polytopes
Barry Monson, Tomaz Pisanski, Egon Schulte +1
Every finite, self-dual, regular (or chiral) 4-polytope of type {3,q,3} has a trivalent 3-transitive (or 2-transitive) medial layer graph. Here, by dropping self-duality, we obtain…