On the Construction of Colored Plane Crystallographic Patterns

Year: 2001 Authors: Ma. Louise Antonette N. De Las PeƱas

Core claim

Colored plane crystallographic patterns can be systematically constructed and enumerated using subgroup relations among G, H, and K.

Topics

color symmetry, plane crystallographic groups, perfect colorings, non-perfect colorings, pattern enumeration

Domains

group theory, symmetry groups, crystallography, cosets, subgroups, ornamental patterning, visual design, surface decoration

Methods

orbit construction, partition of groups, subgroup analysis, coset decomposition

Media

plane patterns, colored geometric motifs, shades and stripes

Source status

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