Coverings of Discrete Quasiperiodic Sets Theory and Applications to Quasicrystals 1st Edition by Peter Kramer, Zorka Papadopolos 3642077498 978-3642077494 by Peter Kramer, Zorka Papadopolos 3540432418 instant download after payment.

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Product details:

ISBN 10: 3642077498

ISBN 13: 978-3642077494

Author: Peter Kramer, Zorka Papadopolos

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.

Table of contents:

1. Covering of Discrete Quasiperiodic Sets: Concepts and Theory

2. Covering Clusters in Icosahedral Quasicrystals

3. Generation of Quasiperiodic Order by Maximal Cluster Covering

4. Voronoi and Delone Clusters in Dual Quasiperiodic Tilings

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

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

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

8. Tilings and Coverings of Quasicrystal Surfaces

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Tags: Peter Kramer, Zorka Papadopolos, Coverings, Quasiperiodic