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Voronoi and Delone Clusters in Dual Quasiperiodic Tilings

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Coverings of Discrete Quasiperiodic Sets

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 180))

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Abstract

The discovery and exploration of quasicrystalline materials, which began in 1984 has stimulated a wealth of new mathematical analysis. A new, aperiodic branch of crystallography was developed from classical crystallography to describe the structures of these materials. The atomic structure forms the background for the physics of quasicrystals, ranging from diffraction, scattering, and electronic states to transport phenomena, thermodynamics, and surface and material properties.

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Authors
  1. Peter Kramer
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Editors and Affiliations

  1. Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076, Tübingen, Germany

    Peter Kramer  & Zorka Papadopolos  & 

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Kramer, P. (2002). Voronoi and Delone Clusters in Dual Quasiperiodic Tilings. In: Kramer, P., Papadopolos, Z. (eds) Coverings of Discrete Quasiperiodic Sets. Springer Tracts in Modern Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45805-0_4

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  • DOI: https://doi.org/10.1007/3-540-45805-0_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43241-8

  • Online ISBN: 978-3-540-45805-0

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