Tiling approach for the description of the sevenfold symmetry in quasicrystals

Tiling approach for the description of the sevenfold symmetry in quasicrystals

An example of substitution rules for the construction of heptagonal rhombic tilings is proposed. Rigorous inflation/deflation rules make it possible to expand the tiling up to infinity without additional ad hoc rearrangements. The derived tilings are self-similar and consist of characteristic patter...

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Veröffentlicht in:Structural chemistry 2017-02, Vol.28 (1), p.57-62
1. Verfasser: Madison, A. E.
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Sprache:eng
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Chemistry
Chemistry and Materials Science
Computer Applications in Chemistry
Original Research
Physical Chemistry
Self-similarity
Theoretical and Computational Chemistry
Tiling
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description An example of substitution rules for the construction of heptagonal rhombic tilings is proposed. Rigorous inflation/deflation rules make it possible to expand the tiling up to infinity without additional ad hoc rearrangements. The derived tilings are self-similar and consist of characteristic patterns with seven-pointed stars surrounded by similar seven-pointed stars.
doi_str_mv 10.1007/s11224-016-0793-y
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subjects Chemistry
Chemistry and Materials Science
Computer Applications in Chemistry
Original Research
Physical Chemistry
Self-similarity
Theoretical and Computational Chemistry
Tiling
title Tiling approach for the description of the sevenfold symmetry in quasicrystals
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