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math.CO2006
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…
math.CO2006
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…