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.

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URL:	http://iopscience.iop.org/1742-6596/284/1/012032
DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1088/1742-6596/284/1/012032
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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.

Item Type:	Journal Article
Copyright Holders:	2011 IoP Publishing
ISSN:	1742-6596
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology
Item ID:	28487
Depositing User:	Uwe Grimm
Date Deposited:	15 Apr 2011 10:01
Last Modified:	30 Nov 2012 16:52
URI:	http://oro.open.ac.uk/id/eprint/28487

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