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• W2017344187 abstract "A pseudo-self-similar tiling is a hierarchical tiling of Euclidean space which obeys a nonexact substitution rule: the substitution for a tile is not geometrically similar to itself. An example is the Penrose tiling drawn with rhombi. We prove that a nonperiodic repetitive tiling of the plane is pseudo-self-similar if and only if it has a finite number of derived Vorono{i} tilings up to similarity. To establish this characterization, we settle (in the planar case) a conjecture of E. A. Robinson by providing an algorithm which converts any pseudo-self-similar tiling of R 2 into a self-similar tiling of R 2 in such a way that the translation dynamics associated to the two tilings are topologically conjugate." @default.
• W2017344187 created "2016-06-24" @default.
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• W2017344187 date "2001-01-01" @default.
• W2017344187 modified "2023-10-01" @default.
• W2017344187 title "Characterization of Planar Pseudo-Self-Similar Tilings" @default.
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• W2017344187 doi "https://doi.org/10.1007/s00454-001-0032-0" @default.
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