About Enumeration of Isogonal Polyhedral Families - Abstract

Vladimir Bulatov
Bridges: Mathematical Connections in Art, Music, and Science (2002)
Pages 320–320

Abstract

Isogonal polyhedron is a polyhedron whose vertices are transitive under transformation of polyhedron's symmetry group. The well-known 76 uniform polyhedra are isogonal polyhedra with additional restriction - polyhedral faces may be only regular polygons. Isogonal polyhedra are much more numerous and in fact usually they form a continuous families of topologically equivalent shapes. To date there were few systematic attempts to classify or enumerate all such families.

Files