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Wavelet analysis of a quasiperiodic tiling with fivefold symmetry. - MaRDI portal

Wavelet analysis of a quasiperiodic tiling with fivefold symmetry. (Q1967004)

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scientific article; zbMATH DE number 1412295
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Wavelet analysis of a quasiperiodic tiling with fivefold symmetry.
scientific article; zbMATH DE number 1412295

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    Wavelet analysis of a quasiperiodic tiling with fivefold symmetry. (English)
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    8 March 2000
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    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.
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