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Calculations of the percolation thresholds of a three-dimensional (icosahedral) Penrose tiling by the cubic approximant method
Authors:R. M. Zakalyukin  V. A. Chizhikov
Affiliation:(1) Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskii pr. 59, Moscow, 119333, Russia
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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