Coxeter Groups in Colored Tilings and Patterns

Year: 2008 Authors: Glenn R. Laigo; Ia Kristine D. Puzon; Ma. Louise Antonette N. De Las Peñas

Core claim

Colored tilings and patterns provide a geometric and visual approach for analyzing Coxeter groups and related subgroup structure.

Topics

color symmetry, Coxeter groups, tilings and tessellations, hyperbolic geometry

Domains

group theory, geometric group theory, reflection groups, triangle groups, pattern design, mathematical art, visual symmetry, Escher-inspired imagery

Methods

geometric representation, perfect colorings, tiling analysis, subgroup study

Media

colored tilings, hyperbolic plane diagrams, regular honeycombs, computer renderings

Source status

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