Philip Brinkmann

most citedA flag vector of a 3-sphere that is not the flag vector of a 4-polytope

2 citations · 2 across the 2 of their papers we have counts for

collaborators

Showing math.MGShow all

2 papers · 1 filter

math.MG2016

Small f-vectors of 3-spheres and of 4-polytopes

Philip Brinkmann, Günter M. Ziegler

We present a new algorithmic approach that can be used to determine whether a given quadruple $(f_{0}, f_{1}, f_{2}, f_{3})$ is the f-vector of any convex 4-dimensional polytope. By implement…

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…