Skip to main content
SpringerLink
Log in

Coverings of Discrete Quasiperiodic Sets

Theory and Applications to Quasicrystals

  • Book
  • © 2003

Overview

Editors:
  1. Peter Kramer

    1. Institut für Theoretische Physik, Universität Tübingen, Tübingen, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Zorka Papadopolos

    1. Institut für Theoretische Physik, Universität Tübingen, Tübingen, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Up-to-date review and guide to most recent literature
  • Written by world experts in this area of research
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages I-XIII
    Download chapter PDF

  2. Covering of Discrete Quasiperiodic Sets: Concepts and Theory

    • Peter Kramer
    Pages 1-21

  3. Covering Clusters in Icosahedral Quasicrystals

    • Michel Duneau, Denis Gratias
    Pages 23-62

  4. Generation of Quasiperiodic Order by Maximal Cluster Covering

    • Franz Gähler, Petra Gummelt, Shelomo I. Ben-Abraham
    Pages 63-95

  5. Voronoi and Delone Clusters in Dual Quasiperiodic Tilings

    • Peter Kramer
    Pages 97-165

  6. The Efficiency of Delone Coverings of the Canonical Tilings Τ *(a4) and Τ *(d6)

    • Zorka Papadopolos, Gerald Kasner
    Pages 165-184

  7. Lines and Planes in 2- and 3-Dimensional Quasicrystals

    • Peter A. B. Pleasants
    Pages 185-225

  8. Thermally-Induced Tile Rearrangements in Decagonal Quasicrystals — Superlattice Ordering and Phason Fluctuation

    • Keiichi Edagawa
    Pages 227-256

  9. Tilings and Coverings of Quasicrystal Surfaces

    • Rónan McGrath, Julian Ledieu, Erik J. Cox, Renee D. Diehl
    Pages 257-268

  10. Back Matter

    Pages 269-273
    Download chapter PDF
Back to top

Keywords

About this book

Coverings are efficient ways to exhaust Euclidean N-space with congruent geometric objects. Discrete quasiperiodic systems are exemplified by the atomic structure of quasicrystals. The subject of coverings of discrete quasiperiodic sets emerged in 1995. The theory of these coverings provides a new and fascinating perspective of order down to the atomic level. The authors develop concepts related to quasiperiodic coverings and describe results. Specific systems in 2 and 3 dimensions are described with many illustrations. The atomic positions in quasicrystals are analyzed.

Editors and Affiliations

  • Institut für Theoretische Physik, Universität Tübingen, Tübingen, Germany

    Peter Kramer, Zorka Papadopolos

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation