Two-color Fractal Tilings

Year: 2012 Authors: Robert W. Fathauer

Core claim

Two-colorability of f-tilings can be achieved either by combining tiles to make all vertex valences even or by subdividing tiles so the resulting vertices all have even valence.

Topics

fractal tilings, two-coloring, vertex valence, prototiles

Domains

tiling theory, graph theory, rotational symmetry, combinatorics, mathematical art, pattern design, optical illusion, Escher-inspired imagery

Methods

survey of prior f-tilings, even-valence criterion, tile combination, tile subdivision

Media

black and white, kite prototiles, dart prototiles, V-shaped prototiles

Source status

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