On the Fibonacci tiling and its modern ramifications
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910801916329984 |
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| author | Baake, Michael Gähler, Franz Mazáč, Jan |
| author_facet | Baake, Michael Gähler, Franz Mazáč, Jan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05387 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Fibonacci tiling and its modern ramifications Baake, Michael Gähler, Franz Mazáč, Jan Metric Geometry Mathematical Physics 52C23, 37B52, 42A38 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. |
| title | On the Fibonacci tiling and its modern ramifications |
| topic | Metric Geometry Mathematical Physics 52C23, 37B52, 42A38 |
| url | https://arxiv.org/abs/2311.05387 |