Coverings of Discrete Quasiperiodic Sets: Theory and Applications to Quasicrystals / Edition 1

Coverings of Discrete Quasiperiodic Sets: Theory and Applications to Quasicrystals / Edition 1

by Peter Kramer, Zorka Papadopolos
     
 

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ISBN-10: 3540432418

ISBN-13: 9783540432418

Pub. Date: 09/18/2002

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540432418
Publisher:
Springer Berlin Heidelberg
Publication date:
09/18/2002
Series:
Springer Tracts in Modern Physics Series , #180
Edition description:
2003
Pages:
273
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Covering of Discrete Quasiperiodic Sets: Concepts and Theory.- Covering Clusters in Icosahedral Quasicrystals.- Generation of Quasiperiodic Order by Maximal Cluster Covering.- Voronoi and Delone Clusters in Dual Quasiperiodic Tilings.- The Efficiency of Delone Coverings of the Canonical Tilings— *(a4) and— *(d6).- Lines and Planes in 2- and 3-Dimensional Quasicrystals.- Thermally-Induced Tile Rearrangements in Decagonal Quasicrystals — Superlattice Ordering and Phason Fluctuation.- Tilings and Coverings of Quasicrystal Surfaces.

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