Hidden Beauty in Penrose Tiling: Weavings & Lace

Year: 2017 Authors: Douglas G. Burkholder

Core claim

Simple painting rules applied during Penrose subdivision reveal 15 woven patterns, lacelike fractals, and pursuit-curve fill-ins.

Topics

Penrose tilings, recursive subdivision, pattern generation, negative space

Domains

aperiodic tilings, substitution systems, fractal geometry, generative art, textile-inspired patterning, lace aesthetics, visual design

Methods

Robinson subdivision, paint-by-number coloring, tile discarding, pursuit curves

Media

kites and darts, Penrose tiling images, digital collage, black-and-white tile regions

Source status

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