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Calculations of the percolation thresholds of a three-dimensional (icosahedral) Penrose tiling by the cubic approximant method

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Abstract

The percolation thresholds of a three-dimensional Penrose tiling with icosahedral symmetry are determined using the cubic approximant method. The percolation thresholds of the three-dimensional Penrose tiling for the site problem and the bond problem are calculated with an accuracy of 0.001.

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Authors and Affiliations

  1. Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskii pr. 59, Moscow, 119333, Russia

    R. M. Zakalyukin & V. A. Chizhikov

Authors
  1. R. M. Zakalyukin
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  2. V. A. Chizhikov
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__________

Translated from Kristallografiya, Vol. 50, No. 6, 2005, pp. 1014–1025.

Original Russian Text Copyright © 2005 by Zakalyukin, Chizhikov.

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Zakalyukin, R.M., Chizhikov, V.A. Calculations of the percolation thresholds of a three-dimensional (icosahedral) Penrose tiling by the cubic approximant method. Crystallogr. Rep. 50, 938–948 (2005). https://doi.org/10.1134/1.2132400

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  • DOI: https://doi.org/10.1134/1.2132400

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