Constructing many-twist Möbius bands with small aspect ratios
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916204175687680 |
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| author | Hennessey, Aidan |
| author_facet | Hennessey, Aidan |
| contents | This paper presents a construction of a folded paper ribbon knot that provides a constant upper bound on the infimal aspect ratio for paper Möbius bands and annuli with arbitrarily many half-twists. In particular, the construction shows that paper Möbius bands and annuli with any number of half-twists can be embedded with aspect ratio less than 8. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14639 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructing many-twist Möbius bands with small aspect ratios Hennessey, Aidan Geometric Topology Differential Geometry This paper presents a construction of a folded paper ribbon knot that provides a constant upper bound on the infimal aspect ratio for paper Möbius bands and annuli with arbitrarily many half-twists. In particular, the construction shows that paper Möbius bands and annuli with any number of half-twists can be embedded with aspect ratio less than 8. |
| title | Constructing many-twist Möbius bands with small aspect ratios |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2401.14639 |