A metric description of flexible octahedra
A new description of flexible Bricard octahedra is obtained using conditions in terms of edge lengths. It is suitable for the study of a number of problems in the metric geometry of octahedra and, in particular, for searching for a proof of the conjecture of Sabitov on the vanishing of all but the l...
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| Veröffentlicht in: | Sbornik. Mathematics 2023, Vol.214 (7), p.952-981 |
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| container_issue | 7 |
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| container_title | Sbornik. Mathematics |
| container_volume | 214 |
| creator | Mikhalev, Sergei Nikolaevich |
| description | A new description of flexible Bricard octahedra is obtained using conditions in terms of edge lengths. It is suitable for the study of a number of problems in the metric geometry of octahedra and, in particular, for searching for a proof of the conjecture of Sabitov on the vanishing of all but the leading coefficients of the polynomial for the volume of a type $3$ octahedron.
Bibliography: 17 titles. |
| doi_str_mv | 10.4213/sm9635e |
| format | Article |
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| ispartof | Sbornik. Mathematics, 2023, Vol.214 (7), p.952-981 |
| issn | 1064-5616 1468-4802 |
| language | eng |
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| title | A metric description of flexible octahedra |
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