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A Numeration System for Fibonacci-like Wang Shifts

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 نشر من قبل Jana Lep\\v{s}ov\\'a
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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Motivated by the study of Fibonacci-like Wang shifts, we define a numeration system for $mathbb{Z}$ and $mathbb{Z}^2$ based on the binary alphabet ${0,1}$. We introduce a set of 16 Wang tiles that admits a valid tiling of the plane described by a deterministic finite automaton taking as input the representation of a position $(m,n)inmathbb{Z}^2$ and outputting a Wang tile.



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