Optimality of Gerver's Sofa
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912138075832320 |
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| author | Baek, Jineon |
| author_facet | Baek, Jineon |
| contents | We resolve the moving sofa problem by showing that Gerver's construction with 18 curve sections attains the maximum area $2.2195\cdots$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19826 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimality of Gerver's Sofa Baek, Jineon Metric Geometry Combinatorics Optimization and Control 49Q10, 49K15, 52A10, 52A41, 90C26 We resolve the moving sofa problem by showing that Gerver's construction with 18 curve sections attains the maximum area $2.2195\cdots$. |
| title | Optimality of Gerver's Sofa |
| topic | Metric Geometry Combinatorics Optimization and Control 49Q10, 49K15, 52A10, 52A41, 90C26 |
| url | https://arxiv.org/abs/2411.19826 |