Wavelet analysis of a quasiperiodic tiling with fivefold symmetry

Physics Letters. Section A: General, Atomic and Solid State Physics

Abstract: 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.