Type: Article

Minimal covers of the prisms and antiprisms

Michael I. Hartley; Daniel Pellicer; Gordon Williams;

Abstract:

This paper contains a classification of the regular minimal abstract polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed discussion of their topological structure, and completes the enumeration of such covers for convex uniform polyhedra. Additionally, this paper addresses related structural questions in the theory of string C-groups.