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- catalog abstract "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.".
- catalog contributor b12634835.
- catalog contributor b12634836.
- catalog created "2002.".
- catalog date "2002".
- catalog date "2002.".
- catalog dateCopyrighted "2002.".
- catalog description "Covering of discrete quasiperiodic sets (Kramer) -- Atomic clusters and covering in icosahedral quasicrystals (Duneau, Gratias) -- Generation of quasiperiodic order by maximal cluster covering (Gähler, Gummelt, Ben-Abraham) -- Ammann grid decorations of covering clusters in quasiperiodic tilings (Lück, Scheffer) -- Voronoi and Delone clusters in dual quasiperiodic tilings (Kramer) -- The efficiency of the Delone-coverings of canonical tilings (Papadopolos, Kasner) -- Covering presentation and colouring of dual canonical tilings (Kramer, Papadopolos, Kasner) -- Lines and planes in 2 and 3 dimensional quasicrystals (Pleasants) -- Thermally induced tile rearrangements in decagonal quasicrystals - superlattice ordering and phason fluctuations (Edagawa) -- Experimentally derived tilings of quasicrystal surfaces (McGrath, Diehl, Ledieu).".
- catalog 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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xv, 273 p. :".
- catalog identifier "3540432418 (alk. paper)".
- catalog isPartOf "Springer tracts in modern physics ; 180.".
- catalog isPartOf "Springer tracts in modern physics, 0081-3869 ; v. 180".
- catalog issued "2002".
- catalog issued "2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "539 s 548/.8 21".
- catalog subject "Combinatorial packing and covering.".
- catalog subject "Crystallography.".
- catalog subject "Crystals.".
- catalog subject "Group theory.".
- catalog subject "Physics.".
- catalog subject "QC1 .S797 vol. 180 QC173.4.Q36".
- catalog subject "Quasicrystals Mathematics.".
- catalog tableOfContents "Covering of discrete quasiperiodic sets (Kramer) -- Atomic clusters and covering in icosahedral quasicrystals (Duneau, Gratias) -- Generation of quasiperiodic order by maximal cluster covering (Gähler, Gummelt, Ben-Abraham) -- Ammann grid decorations of covering clusters in quasiperiodic tilings (Lück, Scheffer) -- Voronoi and Delone clusters in dual quasiperiodic tilings (Kramer) -- The efficiency of the Delone-coverings of canonical tilings (Papadopolos, Kasner) -- Covering presentation and colouring of dual canonical tilings (Kramer, Papadopolos, Kasner) -- Lines and planes in 2 and 3 dimensional quasicrystals (Pleasants) -- Thermally induced tile rearrangements in decagonal quasicrystals - superlattice ordering and phason fluctuations (Edagawa) -- Experimentally derived tilings of quasicrystal surfaces (McGrath, Diehl, Ledieu).".
- catalog title "Coverings of discrete quasiperiodic sets : theory and applications to quasicrystals / Peter Kramer, Zorka Papadopolos (eds.).".
- catalog type "text".