Fractal Wallpaper Patterns

Year: 2015 Authors: Douglas Dunham; John Shier

Core claim

By filling wallpaper-group fundamental regions with progressively smaller non-overlapping motifs, one can create aesthetically pleasing patterns that combine global symmetry with local randomness.

Topics

fractal patterns, wallpaper groups, random motif placement, global symmetry, local randomness

Domains

fractal geometry, plane crystallographic groups, symmetry groups, Hurwitz zeta function, generative art, decorative pattern design, color symmetry, textile-like motifs

Methods

random non-overlapping placement, inverse power law area rule, fundamental region tiling, mirror-boundary handling

Media

circles, hearts, triangles, flowers, arrows

Source status

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