Fractal Tilings Based on Dissections of Polyhexes

Year: 2005 Authors: Robert W. Fathauer

Core claim

Dissected polyhexes provide a systematic source of self-similar edge-to-edge fractal tilings, including bounded and plane-filling examples with 2-fold and 3-fold symmetry.

Topics

fractal tilings, polyhex dissections, rotational symmetry, self-similarity, plane-filling supertiles

Domains

tiling theory, symmetry, geometry, fractal geometry, mathematical art, tessellation design, visual patterning

Methods

polyhex dissection, iterative substitution, symmetry-based selection, candidate prototile analysis

Media

regular hexagons, polyhexes, paper figures, computer-generated diagrams

Source status

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