Patterning by Projection: Tiling the Dodecahedron and other Solids

Year: 2008 Authors: B.G. Thomas; M.A. Hann

Core claim

Projection from an inscribed or circumscribed related solid extends plane tilings to Platonic solids, including the dodecahedron and its duals.

Topics

polyhedral tiling, projection method, Platonic solids, symmetry classes

Domains

geometry, symmetry, tessellations, polyhedra, surface patterning, textile design, geometric ornament, mathematical art

Methods

projection from dual solids, pattern class analysis, circumscribed polyhedra, net construction

Media

paper figures, polyhedron nets, Cairo tessellation, patterned solids

Source status

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