Coverings of Discrete Quasiperiodic Sets

Theory and Applications to Quasicrystals
Herausgegeben:Kramer, Peter; Papadopolos, Zorka

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Springer Tracts in Modern Physics 180
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-07749-4
• Softcover reprint of the original 1st ed. 2003
• Seitenzahl: 296
• Erscheinungstermin: 6. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 17mm
• Gewicht: 452g
• ISBN-13: 9783642077494
• ISBN-10: 3642077498
• Artikelnr.: 32055711

Inhaltsangabe

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.