Fractal procedure of building percolating medium with quasi-crystal symmetry

Yu. A. Karygina; V. V. Yudin

doi:10.1117/12.435891

8 August 2001 Fractal procedure of building percolating medium with quasi-crystal symmetry

Yu. A. Karygina, V. V. Yudin

Proceedings Volume 4513, Optoelectronic Information Systems and Processing; (2001) https://doi.org/10.1117/12.435891
Event: Optoelectronic Information Systems and Processing, 2000, Vladivostok, Russian Federation

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.

Citation Download Citation

Yu. A. Karygina and V. V. Yudin "Fractal procedure of building percolating medium with quasi-crystal symmetry", Proc. SPIE 4513, Optoelectronic Information Systems and Processing, (8 August 2001); https://doi.org/10.1117/12.435891

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