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- W2964121629 abstract "We study tilings of the plane that combine strong properties of different nature: combinatorial and algorithmic. We prove the existence of a tile set that accepts only quasiperiodic and non-recursive tilings. Our construction is based on the fixed point construction [12]; we improve this general technique and make it enforce the property of local regularity of tilings needed for quasiperiodicity. We prove also a stronger result: any $$mathrm Pi _1^0$$ -class can be recursively transformed into a tile set so that the Turing degrees of the resulting tilings consists exactly of the upper cone based on the Turing degrees of the latter." @default.
- W2964121629 created "2019-07-30" @default.
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- W2964121629 date "2015-01-01" @default.
- W2964121629 modified "2023-09-27" @default.
- W2964121629 title "Quasiperiodicity and Non-computability in Tilings" @default.
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- W2964121629 doi "https://doi.org/10.1007/978-3-662-48057-1_17" @default.
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