Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons

Reference

Craig S. Kaplan and George W. Hart. Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons. In Bridges 2001: Mathematical Connections in Art, Music and Science, 2001.

Abstract

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.

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