Wavelet analysis of a quasiperiodic tiling with fivefold symmetry
(1999) Physics Letters. Section A: General, Atomic and Solid State Physics — Vol. 261, n° 5-6, p. 265-274 (1999)
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- Authors
Antoine, Jean-Pierre 
- 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.
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Citations
Antoine, J.-P., Jacques, L., & Twarock, R. (1999). Wavelet analysis of a quasiperiodic tiling with fivefold symmetry. Physics Letters. Section A: General, Atomic and Solid State Physics, 261(5-6), 265-274. https://doi.org/10.1016/S0375-9601(99)00634-9 (Original work published 1999)