UID:
almahu_9947983755502882
Format:
XV, 273 p.
,
online resource.
ISBN:
9783540458050
Series Statement:
Springer Tracts in Modern Physics, 180
Content:
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.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783642077494
Additional Edition:
Printed edition: ISBN 9783540432418
Additional Edition:
Printed edition: ISBN 9783662146262
Language:
English
DOI:
10.1007/3-540-45805-0
URL:
https://doi.org/10.1007/3-540-45805-0
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