Annales Henri Poincaré

, Volume 7, Issue 4, pp 711–730

Circular Symmetry of Pinwheel Diffraction

  • Robert V. Moody
  • Derek Postnikoff
  • Nicolae Strungaru
Original Paper

DOI: 10.1007/s00023-006-0266-8

Cite this article as:
Moody, R.V., Postnikoff, D. & Strungaru, N. Ann. Henri Poincaré (2006) 7: 711. doi:10.1007/s00023-006-0266-8

Abstract.

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.

Communicated by Jean Bellissard

Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  • Robert V. Moody
    • 1
  • Derek Postnikoff
    • 2
  • Nicolae Strungaru
    • 3
  1. 1.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada
  2. 2.Department of PhilosophyUniversity of SaskatchewanSaskatoonCanada
  3. 3.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada

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