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.

Full Product Details

Author:   Peter Kramer ,  Zorka Papadopolos
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2003
Volume:   180
Weight:   0.498kg
ISBN:  

9783642077494

ISBN 10:   3642077498
Pages:   273
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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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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