A fractal version of the pinwheel tiling
Dynamical Systems
2012-08-13 v3 Mathematical Physics
Algebraic Topology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1001.2203,
title = {A fractal version of the pinwheel tiling},
author = {Natalie Priebe Frank and Michael F. Whittaker},
journal= {arXiv preprint arXiv:1001.2203},
year = {2012}
}
Comments
20 pages, 18 figures