Moving rectangular sofas in planar and spatial corridors
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911560458305536 |
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| author | Mushkarov, Oleg Nikolov, Nikolai |
| author_facet | Mushkarov, Oleg Nikolov, Nikolai |
| contents | We consider eight natural planar corridors, including the standard $\mathrm{L}$-shaped one, and characterize the rectangles that can move around their corners. As a bi-product we describe completely the corresponding rectangles with maximum area, as well as the rectangular parallelepipeds with maximum volume that can move around the corners of the spatial analogues of the considered eight planar corridors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01174 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moving rectangular sofas in planar and spatial corridors Mushkarov, Oleg Nikolov, Nikolai Metric Geometry 51M16, 52A38 We consider eight natural planar corridors, including the standard $\mathrm{L}$-shaped one, and characterize the rectangles that can move around their corners. As a bi-product we describe completely the corresponding rectangles with maximum area, as well as the rectangular parallelepipeds with maximum volume that can move around the corners of the spatial analogues of the considered eight planar corridors. |
| title | Moving rectangular sofas in planar and spatial corridors |
| topic | Metric Geometry 51M16, 52A38 |
| url | https://arxiv.org/abs/2604.01174 |