Circular symmetry of pinwheel diffraction

Strungaru, Nicolae; Moody, R. V.; Postnikoff, D.

Circular symmetry of pinwheel diffraction

Author

Strungaru, Nicolae

Moody, R. V.

Postnikoff, D.

Date

2006

Keywords

autocorrelation, control point, circular symmetry, normalize Haar measure, regular Borel measure

Abstract (summary)

A method is given for explicitly determining the autocorrelation of the pinwheel tiling by use of the substitution system generating the tiling. Using this a new proof of the circular symmetry of the diffraction of the pinwheel tiling is given.

Publication Information

Moody, R. V., Postnikoff, D. and Strungaru, N., “Circular symmetry of pinwheel diffraction”, Annales Henri Poincare, Volume 7, Number 4, 711-730, (2006).