Fractal Properties of Quasicrystalline Penrose Tiling Synthesis

Authors V.V. Yudin, P.L. Titov, S.A. Schegoleva

Far Eastern Federal University, 8, Sukhanova Str., 690950 Vladivostok, Russia

Issue Volume 6, Year 2014, Number 3
Dates Received 19 May 2014; revised manuscript received 04 July 2014; published online 15 July 2014
Citation V.V. Yudin, P.L. Titov, S.A. Schegoleva, J. Nano- Electron. Phys. 6 No 3, 03014 (2014)
PACS Number(s) 89.75.Fb, 89.75.Da, 05.45. – a
Keywords Decagonal Penrose tiling, Starlike decagon, Dorsal decagon, Morphogenesis, Entropy (3) , Chaos, Fractal (8) .
Annotation 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.

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