Escher Patterns on Triply Periodic Polyhedra

Year: 2013 Authors: Douglas Dunham

Core claim

Escher-inspired designs can be naturally wrapped onto triply periodic polyhedra, creating new patterned surfaces corresponding to hyperbolic tessellations.

Topics

triply periodic polyhedra, Escher patterns, hyperbolic tessellations, triply periodic minimal surfaces, patterned surfaces

Domains

hyperbolic geometry, regular tessellations, polyhedral geometry, Schlafli symbols, symmetry groups, mathematical art, pattern design, surface ornamentation

Methods

geometric construction, pattern mapping, surface wrapping, comparative tessellation analysis, 3D form visualization

Media

triply periodic polyhedra, butterflies, angels and devils, Schwarz’s D-Surface, 3D printing

Source status

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