On the Structure of a Quasicrystal : Three-Dimensional Penrose Transformation

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概要

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• A 3-D Pentose transformation is found. The expansion rates, T' in lineardimension and r' in volume, are by far the larger than r and r' respectivelyever believed. The transformation decides only the skeleton uniquely, leavingsome other degrees of freedom undecided. It strikingly differs from the deter-ministic 2-D case. Many other properties are common with the 2-D case. Thistransformation is helpful in understanding the quasi-crystal structure about whichmost of discussions so far were based on some incomplete or wrong knowledge.The beautiful structure of the transformation inspires to speculate the possibilityof providing many theoretical tools to discuss various fundamental problems.Some details of the transformation is given in tire form of an instruction for themodel construction in Appendix.

• 社団法人日本物理学会の論文
• 1985-09-15

著者

• OGAWA Tohru

  Institute of Applied Physics, University of Tsukuba

• Ogawa Tohru

  Institute Of Applied Physics University Of Tsukuba

• OGAWA Tohru

  Institute of Applied Physics,University of Tsukuba

関連論文

• Frustration, Degeneracy and Forms : A View of the Antiferromagnetic Ising Model on a Triangular Lattice
• A Family of Fibonacci Lattices. II
• On the Structure of a Quasicrystal : Three-Dimensional Penrose Transformation
• Katachi and Symmetry Part 2:The Points in Common and the Points of Difference
• Metal-Nonmetal Transitions in Expanded Fluids : Electronic and Thermodynamic Properties
• Tiling Problem of Convex Pentagon
• Information Entropy and the Statistical Geometry of Two-Dimensional Liquids
• Dense Packing of Equal Circles on a Sphere by the Minimum-Zenith Method: Symmetrical Arrangement
• A New Aspect of Spherical Harmonics

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