# zbMATH — the first resource for mathematics

On quadrangular convex 3-polytopes with at most two types of edges. (English) Zbl 0691.52004
Let M be a convex 3-polytope with quadrangular faces, and suppose that each edge of M has its vertices either a- and b-valent, or b- and c- valent, where $$a\leq c$$; the isomorphism class of such polytopes is denoted $${\mathcal S}(a,b,c)$$. The authors completely determine which such classes $${\mathcal S}(a,b,c)$$ are non-empty, and also find which of them are finite. The exact details are not reproduced here.
Reviewer: P.McMullen

##### MSC:
 52Bxx Polytopes and polyhedra