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Titlebook: Coverings of Discrete Quasiperiodic Sets; Theory and Applicati Peter Kramer,Zorka Papadopolos Book 2003 Springer-Verlag Berlin Heidelberg 2

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Tilings and Coverings of Quasicrystal Surfaces,ful avenue in studies of bulk quasicrystal structures. In particular, the quasi-unit-cell model has been successfully applied to the 2-dimensional decagonal AlNiCo (.-AlNiCo) quasicrystal (see Sect. 8.3.1). However, HRTEM is a bulk technique and can only be used to observe the average structure over
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Book 2003ic 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. Sp
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,Thermally-Induced Tile Rearrangements in Decagonal Quasicrystals — Superlattice Ordering and Phasongh-resolution transmission electron microscopy (HRTEM) have been utilized effectively; HRTEM gives direct information about the local structure, which is complementary to that obtained from X-ray diffractometry.
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0081-3869 erings 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
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the basis of the observation that at least some quasicrystals can be regarded as being covered by a single kind of cluster, Burkov [.] was one of the first to propose a structure model which was explicitly given as a covering with overlapping copies of a single cluster.
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0081-3869 fic systems in 2 and 3 dimensions are described with many illustrations. The atomic positions in quasicrystals are analyzed.978-3-642-07749-4978-3-540-45805-0Series ISSN 0081-3869 Series E-ISSN 1615-0430
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Lines and Planes in 2- and 3-Dimensional Quasicrystals,gs of the plane and icosahedral tilings of space, though the ideas of this chapter extend to any quasicrystal that uses an algebraic number field in its construction, and in Sect. 6.8 we illustrate this with theexample of a 14-fold quasicrystal.
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Generation of Quasiperiodic Order by Maximal Cluster Covering,the basis of the observation that at least some quasicrystals can be regarded as being covered by a single kind of cluster, Burkov [.] was one of the first to propose a structure model which was explicitly given as a covering with overlapping copies of a single cluster.
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