Fractal Properties of Quasicrystalline Penrose Tiling Synthesis
| Authors | V.V. Yudin, P.L. Titov, S.A. Schegoleva |
| Affiliations | Far Eastern Federal University, 8, Sukhanova Str., 690950 Vladivostok, Russia |
| Е-mail | t-p-l@inbox.ru |
| 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) |
| DOI | |
| 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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