Type: Article

Classification of tight regular polyhedra

Cunningham, Gabe; Pellicer, Daniel;

Abstract:

A regular polyhedron of type has at least 2pq flags, and it is called tight if it has exactly 2pq flags. The values of p and q for which there exist tight orientably regular polyhedra were previously known. We determine for which values of p and q there is a tight non-orientably regular polyhedron of type . Furthermore, we completely classify tight regular polyhedra in terms of their automorphism groups.