A Self-Ruling Monotile for Aperiodic Tiling

Year: 2022 Authors: Pierre Gradit; Vincent Van Dongen

Core claim

HexSeed embeds scaling and substitution information in one tile, and the resulting infinite tiling is proven aperiodic through dendrite-based motif analysis.

Topics

aperiodic tiling, monotiles, substitution rules, hexagonal tilings, fractal motifs

Domains

tiling theory, substitution systems, aperiodic order, fractal geometry, pattern design, geometric aesthetics, motif exploration, visual abstraction

Methods

iterative substitution, finite motif coloring, dendrite analysis, aperiodicity proof

Media

hexagonal subtiles, binary color motifs, arrow motifs, edge bumps and holes

Source status

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