Geodesic
A~metric description of flexible octahedra
Sbornik. Mathematics, Tome 214 (2023) no. 7, pp. 952-981

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: flexible polyhedra, Bricard octahedra, solution of polyhedra.
Mots-clés : volume polynomial 
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S. N. Mikhalev. A~metric description of flexible octahedra. Sbornik. Mathematics, Tome 214 (2023) no. 7, pp. 952-981. http://geodesic.mathdoc.fr/item/SM_2023_214_7_a3/