Constructing many-twist Möbius bands with small aspect ratios
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-twis...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.690/ |
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| author | Hennessey, Aidan |
| author_facet | Hennessey, Aidan |
| author_sort | Hennessey, Aidan |
| collection | DOAJ |
| description | 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 6. |
| format | Article |
| id | doaj-art-e3d43d20995348fa93dc9a30bf2e6100 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-e3d43d20995348fa93dc9a30bf2e61002025-02-07T11:26:37ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G121837184510.5802/crmath.69010.5802/crmath.690Constructing many-twist Möbius bands with small aspect ratiosHennessey, Aidan069 Brown St., Mail# 3220, Providence, RI 02912, USAThis 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 6.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.690/Möbius BandHalpern–Weaver ConjectureFolded Ribbon Knots Isometric EmbeddingOptimization |
| spellingShingle | Hennessey, Aidan Constructing many-twist Möbius bands with small aspect ratios Comptes Rendus. Mathématique Möbius Band Halpern–Weaver Conjecture Folded Ribbon Knots Isometric Embedding Optimization |
| title | Constructing many-twist Möbius bands with small aspect ratios |
| title_full | Constructing many-twist Möbius bands with small aspect ratios |
| title_fullStr | Constructing many-twist Möbius bands with small aspect ratios |
| title_full_unstemmed | Constructing many-twist Möbius bands with small aspect ratios |
| title_short | Constructing many-twist Möbius bands with small aspect ratios |
| title_sort | constructing many twist mobius bands with small aspect ratios |
| topic | Möbius Band Halpern–Weaver Conjecture Folded Ribbon Knots Isometric Embedding Optimization |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.690/ |
| work_keys_str_mv | AT hennesseyaidan constructingmanytwistmobiusbandswithsmallaspectratios |