Some Structures arising from the Farey Fractal
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911532551503872 |
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| author | Haran, Shai |
| author_facet | Haran, Shai |
| contents | This work explores new arithmetic and combinatorial structures arising from the interplay between Farey-type graphs, Fibonacci expansions, and operadic constructions. We introduce Fibonadic numbers, defined as an inverse limit under the Zeckendorf shift, equipped with a metric, order, and commutative rig structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some Structures arising from the Farey Fractal Haran, Shai Number Theory Combinatorics This work explores new arithmetic and combinatorial structures arising from the interplay between Farey-type graphs, Fibonacci expansions, and operadic constructions. We introduce Fibonadic numbers, defined as an inverse limit under the Zeckendorf shift, equipped with a metric, order, and commutative rig structure. |
| title | Some Structures arising from the Farey Fractal |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2509.10959 |