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.
Format:	Artikel
Sprache:	eng
Schlagworte:	Chemistry Chemistry and Materials Science Computer Applications in Chemistry Original Research Physical Chemistry Self-similarity Theoretical and Computational Chemistry Tiling
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1040-0400 1572-9001
DOI:	10.1007/s11224-016-0793-y