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math.MG2015
Simple polytopes without small separators
Lauri Loiskekoski, Günter M. Ziegler
We show that by cutting off the vertices and then the edges of neighborly cubical polytopes, one obtains simple 4-dimensional polytopes with n vertices such that all separators of…
math.MG2015★ 2 cited
A flag vector of a 3-sphere that is not the flag vector of a 4-polytope
Philip Brinkmann, Günter M. Ziegler
We present a first example of a flag vector of a polyhedral sphere that is not the flag vector of any polytope. Namely, there is a unique 3-sphere with the parameters $(f_0,f_1,f_2…