From Chaos to Quasicrystals
It required great effort to find the 5—fold symmetry in the Nature1. But may be much more efforts was needed to change anything in our minds. Penrose tiling with 5—fold symmetry has been published years before2. And even very wide popularization of it by M. Gardner in Physics Today3 was not enough to convince a lot of crystallographists that the pentagonal tiling exists. We should not forget the unsuccessful efforts of I. Kepler to solve this problem.
KeywordsCanonical Transformation Crystal Symmetry Chaotic Orbit Singular Orbit Hyperbolic Point
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