Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons

Year: 2001 Authors: Craig S. Kaplan; George W. Hart

Core claim

Symmetric placement of regular polygons on polyhedral rotation axes yields a unified construction that reproduces many Archimedean solids and creates new attractive polyhedra.

Topics

convex polyhedra, symmetry groups, regular faces, Archimedean solids, polyhedral construction

Domains

polyhedral geometry, group symmetry, convex geometry, combinatorial geometry, geometric sculpture, architectural form, toy and puzzle design, visual design

Methods

symmetry-axis construction, parametric notation, geometric case analysis, computer visualization

Media

regular polygons, paper diagrams, polyhedral models, rendering software

Source status

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