Some comments on pinwheel tilings and their diffraction
Mathematical Physics
2011-05-20 v1 math.MP
Abstract
The pinwheel tiling is the paradigm for a substitution tiling with circular symmetry, in the sense that the corresponding autocorrelation is circularly symmetric. As a consequence, its diffraction measure is also circularly symmetric, so the pinwheel diffraction consists of sharp rings and, possibly, a continuous component with circular symmetry. We consider some combinatorial properties of the tiles and their orientations, and a numerical approach to the diffraction of weighted pinwheel point sets.
Cite
@article{arxiv.1102.1750,
title = {Some comments on pinwheel tilings and their diffraction},
author = {Uwe Grimm and Xinghua Deng},
journal= {arXiv preprint arXiv:1102.1750},
year = {2011}
}
Comments
9 pages, 9 figures