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ISBN: 0198517785 9780198517788 Year: 1994 Volume: 50 Publisher: Oxford: Oxford university press,
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ISBN: 9783540651888 3540651888 Year: 1999 Publisher: Berlin: Springer,
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ISBN: 089573723X 352727927X 9780895737236 Year: 1990 Publisher: New York (N.Y.): VCH,
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Solid state physics --- Metal crystals --- Quasicrystals --- Symmetry (Physics) --- Cristaux métalliques --- Quasicristaux --- Symétrie (Physique) --- Metal crystals. --- Quasicrystals. --- 548.12 --- 544.273.4 --- #WSCH:AAS2 --- Invariance principles (Physics) --- Symmetry (Chemistry) --- Conservation laws (Physics) --- Physics --- Quasi-crystals --- Condensed matter --- Crystals --- Physical metallurgy --- Theory of symmetry. Theory of original forms in general --- Quasicrystalline model (physical chemistry) --- 548.12 Theory of symmetry. Theory of original forms in general
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ISBN: 0521372593 9780521372596 0521575419 9780521575416 Year: 1996 Publisher: Cambridge: Cambridge university press,
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"Quasicrystals and Geometry brings together for the first time the many strands of contemporary research in quasicrystal geometry and weaves them into a coherent whole. The author describes the historical and scientific context of this work, and carefully explains what has been proved and what is conjectured. This, together with a bibliography of over 250 references, provides a solid background for further study." "The discovery in 1984 of crystals with 'forbidden' symmetry posed fascinating and challenging problems in many fields of mathematics, as well as in the solid state sciences. By demonstrating that 'order' need not be synonymous with periodicity, it raised the question of what we mean by 'order', and how orderliness in a geometric structure is reflected in measures of order such as diffraction spectra. Increasingly, mathematicians and physicists are becoming intrigued by the quasicrystal phenomenon, and the result has been an exponential growth in the literature on the geometry of diffraction patterns, the behavior of the Fibonacci and other nonperiodic sequences, and the fascinating properties of the Penrose tilings and their many relatives." "This first-ever detailed account of quasicrystal geometry will be of great value to mathematicians at all levels with an interest in quasicrystals and geometry, and will also be of interest to graduate students and researchers in solid state physics, crystallography and materials science."--Jacket.
Quasicrystals --- Crystallography, Mathematical --- 514.87 --- 548.1 --- 538.9 --- 548.1 Mathematical crystallography. Continuum theory of crystals --- Mathematical crystallography. Continuum theory of crystals --- 514.87 Geometric questions and methods in crystallography --- Geometric questions and methods in crystallography --- Crystallography --- Crystallometry --- Mathematical crystallography --- Quasi-crystals --- Mathematics --- Crystals --- Quasicrystals. --- Crystallography, Mathematical. --- Lattice theory --- Condensed matter --- Mathematical models --- Geometry
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ISBN: 9780521869911 9781139025256 1139025252 9781316184738 1316184730 9781316183779 1316183777 0521869919 1316183181 131618367X 131618448X 131618403X Year: 2013 Volume: 149 Publisher: Cambridge: Cambridge university press,
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Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.
Aperiodicity --- Crystallography, Mathematical --- Aperiodic tilings --- Quasicrystals --- Pavage (mathématiques) --- Quasicristaux --- Mathematics --- Mathématiques --- Mathématiques. --- Aperiodic tilings. --- Quasi-crystals --- Condensed matter --- Crystals --- Aperiodic point sets --- Sets, Aperiodic point --- Discrete geometry --- Point set theory --- Tiling (Mathematics) --- Mathematics.
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