Repeating Fractal Patterns with 4-Fold Symmetry

Year: 2016 Authors: Douglas Dunham; John Shier

Core claim

A modified random placement algorithm can generate repeating fractal patterns with p4 symmetry while preserving local randomness.

Topics

fractal patterns, wallpaper symmetry, random motif placement, plane tiling

Domains

wallpaper groups, p4 symmetry, plane geometry, rotation symmetries, generative art, pattern design, decorative symmetry, visual composition

Methods

random iterative placement, fundamental region tiling, symmetry-aware adjustment, progressive scaling

Media

circles, motifs, colored planar patterns, fundamental region

Source status

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