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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.19461 |
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| _version_ | 1866918217264398336 |
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| author | Calkin, Neil J. Gallagher, Eliza Gobler, Ben |
| author_facet | Calkin, Neil J. Gallagher, Eliza Gobler, Ben |
| contents | We study the relationship between three combinatorial objects -- a taffy pulling machine, the Calkin-Wilf tree of all fractions, and Conway's rational tangles. After introducing these objects, we develop a taffy analogue for Conway's characterization of rational tangles, and we give a direct geometric connection between rational tangles and taffy pulls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19461 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Taffy, Trees, and Tangles Calkin, Neil J. Gallagher, Eliza Gobler, Ben History and Overview Combinatorics Geometric Topology We study the relationship between three combinatorial objects -- a taffy pulling machine, the Calkin-Wilf tree of all fractions, and Conway's rational tangles. After introducing these objects, we develop a taffy analogue for Conway's characterization of rational tangles, and we give a direct geometric connection between rational tangles and taffy pulls. |
| title | Taffy, Trees, and Tangles |
| topic | History and Overview Combinatorics Geometric Topology |
| url | https://arxiv.org/abs/2511.19461 |