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Random tilings of spherical 3-manifolds - MaRDI portal

Random tilings of spherical 3-manifolds (Q955112)

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scientific article; zbMATH DE number 5368409
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English
Random tilings of spherical 3-manifolds
scientific article; zbMATH DE number 5368409

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    Random tilings of spherical 3-manifolds (English)
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    18 November 2008
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    Motivated by the recent interest in random tilings of compact Euclidean manifolds, the author investigates non-deterministic triangulations of spherical 3-manifolds. They are based on planar tilings with an inflation structure and a rearrangement structure that introduces some randomness (leading to entropy of rank 2 in this case). Several examples are worked out in detail, including explicit expressions for the configurational entropy.
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    random tilings
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    quasicrystals
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    3-manifolds
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    entropy
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