f-vector

Fat 4-polytopes ★★★

The fatness of a 4-polytope $P$ is defined to be $(f_1 + f_2)/(f_0 + f_3)$ where $f_i$ is the number of faces of $P$ of dimension $i$ .

Question Does there exist a fixed constant $c$ so that every convex 4-polytope has fatness at most $c$ ?

Posted by mdevos
updated May 12th, 2007