Fractional Beauty

Year: 2014 Authors: Harrie Welles

Core claim

Continued fractions provide a practical way to predict and design the structure of patterns generated from ratios in plane symmetries.

Topics

plane symmetries, continued fractions, pattern generation, layered spirals, crystal figures

Domains

continued fractions, ratio, plane symmetry groups, rotational symmetry, generative art, pattern design, geometric ornament, visual composition

Methods

deflection lines, direction-based construction, computer generation, layered diagram

Media

digital pattern images, stripe paths, crystal figures, color mixing

Source status

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