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Entropy of the random triangle-square tiling

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  • Kawamura, Hikaru

Abstract

The random triangle-square tiling with twelvefold quasicrystalline order is studied by using the transfer-matrix method. Based on a systematic finite-size analysis for L × ∞ lattices up to L = 9, the maximum entropy per vertex for an infinite system is estimated to be S = 0.119 ± 0.001. The ratio of the number of triangles to that of squares in the highest-entropy state is estimated to be r = 0.433 ± 0.001, in excellent agreement with the value √34 given by Leung, Henley and Chester.

Suggested Citation

  • Kawamura, Hikaru, 1991. "Entropy of the random triangle-square tiling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 73-78.
    • Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:73-78
    DOI: 10.1016/0378-4371(91)90136-Z
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    1. Cahn, Anne H., 1984. "Mimicking Sisyphys: America's Countervailing Nuclear Strategy. By Louis Rene Beres. (Lexington, Mass.: D.C. Heath, 1983. Pp. xiii + 142. $19.95, cloth; $7.95, paper.)," American Political Science Review, Cambridge University Press, vol. 78(1), pages 265-265, March.
    2. John S. Henley & Mohamed M. Ereisha, 1989. "State Ownership and the Problem of the Work Incentive: An Egyptian Case Study," Work, Employment & Society, British Sociological Association, vol. 3(1), pages 65-87, March.
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