Synopses & Reviews
The discovery in 1984 of crystals with \'forbidden\' symmetry posed fascinating and challenging problems in many fields of mathematics and solid state science. 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 volume brings together for the first time the many strands of contemporary research in quasicrystal geometry and weaves them into a coherent whole. It will undoubtedly be of interest to students and researchers in the fields of geometry, condensed matter physics, and materials science.
Synopsis
This book brings together for the first time the many strands of contemporary research in quasicrystal geometry.
Description
Includes bibliographical references (p. 272-282) and index.
Table of Contents
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.