UID:
almafu_9958132828502883
Format:
1 online resource (238 p.)
ISBN:
0-323-15947-8
Series Statement:
Aperiodicity and order ; v. 2
Content:
Introduction to the Mathematics of Quasicrystals
Note:
Description based upon print version of record.
,
Front Cover; Introduction to the Mathematics of Quasicrystals; Copyright Page; Table of Contents; Contributors; Preface; Chapter 1. A Brief Introductionto Tilings; 1. Tilings and Crystals; 2. Basic Concepts; 3. Construction Techniques; 4. Forcing Transitivity; 5. Forcing Nonperiodicity; References; Chapter 2. Tilings and Quasi-Crystals; a Non-Local Growth Problem?; 1. Introduction; 2. The Non-Locality of Mistakes; 3. Fibonacci Sequences; 4. Non-Locality of Fibonacci Sequences; References; Chapter 3. Group Theory of Icosahedral Quasicrystals; 1. Introduction; 2. Some Group Theory Basics
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3. Representation Theory4. Space Group Concepts; 5. Stars and Polytopes; 6. Cells and Quasilattices; 7. Continuous and Subgroup Relations for the Cubic and Icosahedral Groups; 8. The Hyperoctahedral Group and Its Representations; 9. The Hypercubic Lattice in E6, Its Metrical Dual, and Its Epicells; 10. Quasicrystal Models and Their Fourier Transform; Acknowledgments; References; Chapter 4. Some Local Properties of the Three Dimensional Penrose Tilings; 1. Introduction; 2. The Projection Method; 3. The Local Isomorphism Property; 4. Classification of Local Packings
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5. The Cut Description and theOblique TilingReferences; Chapter 5. Defects in Quasicrystals; 1. Introduction; 2. The Perfect Quasicrystal; 3. Defects in Quasicrystals; 4. The Motion of Dislocationsin Quasicrystals; 5. Conclusion; References; Index
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English
Additional Edition:
ISBN 0-12-040602-0
Language:
English
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