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Proceedings Paper

Fractal procedure of building percolating medium with quasi-crystal symmetry
Author(s): Yu. A. Karygina; V. V. Yudin
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Paper Abstract

In this paper fractal procedure of covering surface is represented. Subject of investigations is quasicrystal Penrose mosaic (MP) which has axis of symmetry of the fifth order. Elements of MP generation are pair of golden (g) rhombs divided on with conservation of g-relations. Following generations of MP are obtained by iterative procedure. Cayley trees are built for obtained fractal structures. The percolation problem of fractal dimensionality and entropic functionals is solved for obtained graphs.

Paper Details

Date Published: 8 August 2001
PDF: 5 pages
Proc. SPIE 4513, Optoelectronic Information Systems and Processing, (8 August 2001); doi: 10.1117/12.435891
Show Author Affiliations
Yu. A. Karygina, Far Eastern State Technical Univ. (Russia)
V. V. Yudin, Far Eastern State Technical Univ. (Russia)


Published in SPIE Proceedings Vol. 4513:
Optoelectronic Information Systems and Processing

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