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arXiv · 2311.05387

On the Fibonacci tiling and its modern ramifications

Michael Baake·Franz Gähler·Jan Mazáč
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Abstract

In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticipated by the early papers and books. Here, we start from the well-known Fibonacci chain to explain some of them, with pointers to various generalisations as well as to higher-dimensional phenomena and results. This should give some entry points to the modern literature on the subject.

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Michael Baake, Franz Gähler, Jan Mazáč. 2023-11-09. On the Fibonacci tiling and its modern ramifications. https://arxiv.org/abs/2311.05387

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