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Wavelet analysis of a quasiperiodic tiling with fivefold symmetry

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JournalPhysics Letters A
DatePublished - 18 Oct 1999
Issue number5-6
Volume261
Number of pages10
Pages (from-to)265-274
Original languageEnglish

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 and its statistical symmetries were unknown.

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