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- W2317381344 abstract "A linear subspace $E$ of $mathbb{R}^n$ has colored local rules if there exists a finite set of decorated tiles whose tilings are digitizations of $E$. The local rules are weak if the digitizations can slightly wander around $E$. We prove that a linear subspace has weak colored local rules if and only if it is computable. This goes beyond the previous results, all based on algebraic subspaces. We prove an analogous characterization for sets of linear subspaces, including the set of all the linear subspaces of $mathbb{R}^n$." @default.
- W2317381344 created "2016-06-24" @default.
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- W2317381344 date "2018-04-05" @default.
- W2317381344 modified "2023-09-25" @default.
- W2317381344 title "Weak colored local rules for planar tilings" @default.
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- W2317381344 doi "https://doi.org/10.1017/etds.2018.20" @default.
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