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A Guide to Mathematical Quasicrystals

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Quasicrystals

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 55))

Summary

This contribution deals with mathematical and physical properties of discrete structures such as point sets and tilings. The emphasis is on proper generalizations of concepts and ideas from classical crystallography. In particular, we focus on their interplay with various physically motivated equivalence concepts such as local indistinguishability and local equivalence. Various discrete patterns with non-crystallographic symmetries are described in detail, and some of their magic properties are introduced. This perfectly ordered world is augmented by a brief introduction to the stochastic world of random tilings.

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Authors
  1. Michael Baake
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Editor information

Editors and Affiliations

  1. Institut für Physik, TU Chemnitz, 09107, Chemnitz, Germany

    Jens-Boie Suck  & Peter Häussler  & 

  2. International University Bremen, Postfach 75 05 61, 28725, Bremen, Germany

    Michael Schreiber

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© 2002 Springer-Verlag Berlin Heidelberg

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Baake, M. (2002). A Guide to Mathematical Quasicrystals. In: Suck, JB., Schreiber, M., Häussler, P. (eds) Quasicrystals. Springer Series in Materials Science, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05028-6_2

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  • DOI: https://doi.org/10.1007/978-3-662-05028-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08390-7

  • Online ISBN: 978-3-662-05028-6

  • eBook Packages: Springer Book Archive

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