Patterned Triply Periodic Polyhedra

Year: 2012 Authors: Douglas Dunham

Core claim

Repeating motifs can be constructed on regular and non-regular triply periodic polyhedra using their symmetry and their correspondence with hyperbolic tessellations.

Topics

repeating patterns, triply periodic polyhedra, hyperbolic tessellations, skew polyhedra

Domains

geometry, hyperbolic geometry, topology, polyhedral symmetry, mathematical art, pattern design, surface ornament, Escher-inspired imagery

Methods

symmetry-based pattern construction, Schläfli symbol analysis, hyperbolic-plane correspondence, covering-surface interpretation

Media

fish motifs, polyhedron surfaces, Poincaré disk model, printed figures

Source status

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