Space-Filling, Self-Similar Curves of Regular Pentagons, Heptagons and Other n-Gons

Year: 2021 Authors: Stefan Pautze

Core claim

Decorated cyclotomic aperiodic stone-inflation tilings can generate FASS curves for regular n-gons, including examples for the pentagon and heptagon.

Topics

space-filling curves, self-similarity, aperiodic substitution tilings, regular polygons

Domains

fractals, tiling theory, cyclotomic fields, geometric substitution, generative art, mathematical visualization, pattern design, aesthetic geometry

Methods

tiling decoration, substitution rules, stone inflation, curve derivation

Media

regular n-gons, cyclotomic tilings, pentagon curve, heptagon curve

Source status

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