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

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separate

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Coverings of Discrete Quasiperiodic Sets978-3-540-45805-0Series ISSN 0081-3869 Series E-ISSN 1615-0430

narcissism

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or geometric object. The geometric arrangement then generates a pattern with this motif. In ., one allows the overlap of the geometric objects. Any point is still covered by at least one geometric object. Therefore local motifs attached to geometric objects again generate a pattern.

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cupation number of some of the shells. We show that a fixed extended Bergman cluster of 6 shells and 106 atoms covers about 98% of atomic positions. We also prove that a variable extended Bergman cluster of 6 shells, which contains the previous fixed cluster, covers all atomic positions of the theor

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sional space, and indeed the decagonal tiling . . can be seen as a subtiling of the icosahedral tiling . . [., .]. The tiles of . . are six golden tetrahedra [., .] of edge lengths ? and . ., as above. The tiles are coded in perpendicular space . by corresponding dual Voronoi boundaries projected on

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Covering of Discrete Quasiperiodic Sets: Concepts and Theory, or geometric object. The geometric arrangement then generates a pattern with this motif. In ., one allows the overlap of the geometric objects. Any point is still covered by at least one geometric object. Therefore local motifs attached to geometric objects again generate a pattern.