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arXiv · 2105.11898

A Numeration System for Fibonacci-like Wang Shifts

Sébastien Labbé·Jana Lepšová
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Abstract

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 $(m,n)\in\mathbb{Z}^2$ and outputting a Wang tile.

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Sébastien Labbé, Jana Lepšová. 2021-07-06. A Numeration System for Fibonacci-like Wang Shifts. https://doi.org/10.1007/978-3-030-85088-3_9

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