Fractal Properties of Quasicrystalline Penrose Tiling Synthesis

Автор(ы) V.V. Yudin, P.L. Titov, S.A. Schegoleva
Принадлежность

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

Е-mail t-p-l@inbox.ru
Выпуск Том 6, Год 2014, Номер 3
Даты Получено 19.05.2014, в отредактированной форме – 04.07.2014, опубликовано online – 15.07.2014
Ссылка 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
Ключевые слова Decagonal Penrose tiling, Starlike decagon, Dorsal decagon, Morphogenesis, Entropy (3) , Chaos, Fractal (7) .
Аннотация 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.

Список литературы