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Quasicrystals

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Connecting icosahedral and dodecagonal order

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Theoretical study of electronic transport through quasicrystalline nanotubes using mesh inflation approach

I-Lin Ho, Chung-Hsien Chou and Yia-Chung Chang
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On symmetry groups of quasicrystals

V. A. Artamonov and S. Sanchez
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Compatibility waves drive crystal growth on patterned substrates

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Quasiperiodic Frank–Kasper phases derived from the square–triangle dodecagonal tiling

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О группах симметрий квазикристаллов

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Relationship between the electrochemical behavior of phosphides and amorphous iron alloys that contain chromium and phosphorus

M. V. Gerasimov and Yu. N. Simirskii
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On finite symmetry groups of some models of three-dimensional quasicrystals

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Siberian Mathematical Journal 52 (6) 969 (2011)
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Remarks on symmetries of 2D-quasicrystals

V. Artamonov and S. Sànchez
International Journal of Computer Mathematics 85 (3-4) 319 (2008)
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Studying the properties of photonic quasi-crystals by the scaling convergence method

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Mathematical diffraction of aperiodic structures

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On the combinatorial characterization of quasicrystals

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Dynamics on the graph of the torus parametrization

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Ergodic Theory and Dynamical Systems 38 (3) 1048 (2018)
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Cyclotomic Aperiodic Substitution Tilings

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Symmetry 9 (2) 19 (2017)
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Formation of dodecagonal quasicrystals in two-dimensional systems of patchy particles

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On weak model sets of extremal density

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Indagationes Mathematicae 28 (1) 3 (2017)
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Weighted Dirac combs with pure point diffraction

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Journal für die reine und angewandte Mathematik (Crelles Journal) 2004 (573) 61 (2004)
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Pure Point Diffraction Implies Zero Entropy for Delone Sets with Uniform Cluster Frequencies

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Dense quasicrystalline tilings by squares and equilateral triangles

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Acta Crystallographica Section A Foundations of Crystallography 66 (1) 5 (2010)
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