Coverings of discrete quasiperiodic sets
Subtitle: theory and applications to quasicrystals
By: Peter Kramer, Zorka Papadopolos (eds.)
Contributors: Kramer, Peter, 1933-; Papadopolos, Zorka, 1949-
Series: Springer tracts in modern physics -- 180
Publisher: Springer
Published: 2003
Place of publication: Berlin; New York
Language: eng
Number of pages: 273
Subjects: Quasicrystals -- Mathematics; Combinatorial packing and covering
Description: 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.
Notes: Includes bibliographical references and index