Some comments on pinwheel tilings and their diffraction

Grimm, Uwe and Deng, Xinghua (2011). Some comments on pinwheel tilings and their diffraction. Journal of Physics: Conference Series, 284(1) 012032.

DOI: https://doi.org/10.1088/1742-6596/284/1/012032

URL: http://iopscience.iop.org/1742-6596/284/1/012032

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.

Viewing alternatives

Metrics

Public Attention

Altmetrics from Altmetric

Number of Citations

Citations from Dimensions
No digital document available to download for this item

Item Actions

Export

About

Recommendations