New Kinds of Fractal Patterns

Year: 2017 Authors: Douglas Dunham; John Shier

Core claim

A modified area-rule algorithm can generate space-filling fractal patterns with p6 symmetry, orientation constraints, and complex hand-modeled motifs.

Topics

fractal patterns, wallpaper symmetry, motif orientation, random placement

Domains

geometry, symmetry groups, fractal dimension, Hurwitz zeta function, generative art, pattern design, ornamental composition, visual art

Methods

random sequential placement, area rule, fundamental region tiling, orientation alignment

Media

circles, flowers, hearts, monarch butterflies

Source status

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