Neighborly 6-polytopes with 10 vertices (Q579628)

A neighborly d-polytope is a polytope \(P\subset {\mathbb{R}}^ d\) such that the convex hull of any \([{1/2}d]\) vertices of P is a face of P. The authors show that there are exactly 37 combinatorial types of neighborly 6-polytopes with 10 vertices. They give a full description.