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Title Fractal Properties of Quasicrystalline Penrose Tiling Synthesis
Authors Yudin, V.V.
Titov, P.L.
Schegoleva, S.A.
ORCID
Keywords Decagonal Penrose tiling
Starlike decagon
Dorsal decagon
Morphogenesis
Entropy
Chaos
Fractal
Type Article
Date of Issue 2014
URI http://essuir.sumdu.edu.ua/handle/123456789/36125
Publisher Sumy State University
License
Citation V.V. Yudin, P.L. Titov, S.A. Schegoleva, J. Nano- Electron. Phys. 6 No 3, 03014 (2014)
Abstract The synthesis of decagonal Penrose tiling by a pair of decagons – starlike and dorsal is considered in this paper. The synthesis procedure is realized according to morphogenetic growth model. It is shown that procedure which controls the synthesis process is just chaotic, but not stochastic. The fractal properties of Penrose tiling synthesis procedure are studied. It is revealed that all characteristics via the morphogenetic fronts have oscillatory-wave behavior. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/36125
Appears in Collections: Журнал нано- та електронної фізики (Journal of nano- and electronic physics)

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