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Beschreibung
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. 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 behaviour of the Fibonacci and other nonperiodic sequences, and the fascinating properties of the Penrose tilings and their many relatives.
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. 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 behaviour of the Fibonacci and other nonperiodic sequences, and the fascinating properties of the Penrose tilings and their many relatives.
Inhaltsverzeichnis
Preface; 1. Past as prologue; 2. Lattices, Voronoi cells, and quasicrystals; 3. Introduction to diffraction geometry; 4. Order on the line; 5. Tiles and tilings; 6. Penrose tilings of the plane; 7. The aperiodic zoo; 8. An atlas of tiling transforms; Appendix I. A mathematician's toolbag; Appendix II. De Bruijn's generalized functions; References.
Details
Erscheinungsjahr: 2009
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521575416
ISBN-10: 0521575419
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Senechal, Marjorie
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 19 mm
Von/Mit: Marjorie Senechal
Erscheinungsdatum: 13.03.2009
Gewicht: 0,503 kg
Artikel-ID: 113576052

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