Counterchange Patterns and Polyhedra

Year: 2009 Authors: B.G. Thomas

Core claim

Among the counterchange classes considered, only p6m/p6 can pattern the icosahedron with the same unit-cell and color symmetry repetition as in the plane.

Topics

color symmetry, counterchange patterns, polyhedra, icosahedron, pattern wrapping

Domains

plane symmetry groups, tiling theory, polyhedral geometry, color symmetry, textile pattern design, decorative patterning, visual symmetry, surface design

Methods

symmetry classification, unit-cell analysis, polyhedral wrapping, comparative pattern mapping

Media

two-dimensional patterns, hexagonal lattice, icosahedron, equilateral triangles

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.