Patterned Polyhedra: Tiling the Platonic Solids

Year: 2007 Authors: B.G. Thomas; M.A. Hann

Core claim

Only certain pattern symmetry types and lattice structures can tile each Platonic solid precisely and completely.

Topics

plane symmetry groups, polyhedral tiling, pattern classification, lattice structure, registration

Domains

geometry, symmetry, tiling theory, polyhedra, pattern design, textile design, two-dimensional design, three-dimensional design

Methods

symmetry classification, lattice analysis, pattern matching, polyhedral application

Media

regular patterns, polyhedral solids, unit cells, prototype models

Source status

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