Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons

Craig S. Kaplan and George W. Hart
Bridges: Mathematical Connections in Art, Music, and Science (2001)
Pages 21–28


In the quest for new visually interesting polyhedra with regular faces, we define and present an infinite class of solids, constructed by placing regular polygons at the rotational axes of a polyhedral symmetry group. This new technique can be used to generate many existing polyhedra, including most of the Archimedean solids. It also yields novel families of attractive symmetric polyhedra.