H.S.M. Coxeter and Tony Bomford’s Colored Hyperbolic Rugs

Year: 2005 Authors: Douglas Dunham

Core claim

Bomford’s hyperbolic rugs can be understood through tessellation-based color symmetries, with several rugs exhibiting perfect color symmetry.

Topics

color symmetry, hyperbolic tessellations, hooked rugs, Coxeter-Bomford interaction

Domains

hyperbolic geometry, regular tessellations, group actions, Poincaré disk model, textile art, pattern design, mathematical art, craft

Methods

geometric pattern analysis, symmetry classification, tessellation comparison, color permutation analysis

Media

hooked rugs, colored wool, Poincaré disk diagrams, tessellation figures

Source status

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