The Braids on your Blanket
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913463528325120 |
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| author | Cheng, Michelle Laugwitz, Robert |
| author_facet | Cheng, Michelle Laugwitz, Robert |
| contents | In this expositional essay, we introduce some elements of the study of groups by analysing the braid pattern on a knitted blanket. We determine that the blanket features pure braids with a minimal number of crossings. Moreover, we determine polynomial invariants associated to the links obtained by closing the braid patterns of the blanket. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12192 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Braids on your Blanket Cheng, Michelle Laugwitz, Robert History and Overview 00A66 (Primary) 00-01, 20F36, 57K10 (Secondary) In this expositional essay, we introduce some elements of the study of groups by analysing the braid pattern on a knitted blanket. We determine that the blanket features pure braids with a minimal number of crossings. Moreover, we determine polynomial invariants associated to the links obtained by closing the braid patterns of the blanket. |
| title | The Braids on your Blanket |
| topic | History and Overview 00A66 (Primary) 00-01, 20F36, 57K10 (Secondary) |
| url | https://arxiv.org/abs/2310.12192 |