A fractal version of the pinwheel tiling

Details A fractal version of the pinwheel tiling A fractal version of the pinwheel tiling

2010-01-13

arxiv.org/abs/1001.2203v3

Mathematics

Dynamical Systems

20 pages, 18 figures

Scientific paper

We introduce a fractal version of the pinwheel substitution tiling. There are thirteen basic prototiles, all of which have fractal boundaries. These tiles, along with their reflections and rotations, create a tiling space which is mutually locally derivable from the pinwheel tiling space. Interesting rotational properties, symmetries, and relative tile frequency are discussed for the tiling space associated with the fractal pinwheel tiling.

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