1999 • Journal Article
Wavelet analysis of a quasiperiodic tiling with fivefold symmetry
Authors:
Antoine, Jean-Pierre,
Jacques, Laurent ,
Twarock, R
Published in:
Physics Letters. Section A: General, Atomic and Solid State Physics
Volume: 261 • Number: 5-6 • Pages: 265-274
We determine all (statistical) rotation-dilation symmetries of a planar quasiperiodic tiling with fivefold symmetry, with a two-dimensional continuous wavelet transform, using a modified Cauchy wavelet and the scale-angle measure. The tiling is constructed via an affine extension of the Coxeter group H-2 and its statistical symmetries were unknown. (C) 1999 Published by Elsevier Science B.V. All rights reserved.