A Method for Creating Dendritic Fractal Tiles

Year: 2020 Authors: Robert W. Fathauer

Core claim

Iterative filling rules on periodic square or hexagonal tilings generate dendritic fractal tiles with fractal boundaries and monohedral two-color tilings in the fractal limit.

Topics

fractal tilings, monohedral tilings, iterative construction, two-colorability

Domains

tiling theory, fractals, periodic tilings, symmetry, pattern design, tessellation, generative art, puzzle design

Methods

iterative grid subdivision, color alternation rules, square-grid construction, hexagonal-grid construction

Media

paper diagrams, square tiles, hexagonal tiles, prism structures

Source status

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