Peer-reviewed
Regular-faced convex polyhedra
A regular-faced convex polyhedron is one in which all the faces are regular polygons, not necessarily with the same number of sides. Counting the prisms and anti- prisms as one type of solid each, there seem to be 112 regular-faced convex polyhedra as conjectured by Johnson and later proved by Zalgaller. These polyhedra can all be built from combinations of 28 simple polyhedra plus prisms and antiprisms. The properties of these solids including the volume and sphericity are presented. The methods and problems in determining the number of these solids are given. Photographs of all the solids are shown. Nets for construction of the polyhedra are given, as well as methods of construction
Article
Journal of the Franklin Institute, 291, 1971, 329