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For flexibility of an octahedron we find necessary metric conditions in termsof edge lengths. These conditions yield a new description of Bricard'soctahedra, suitable for solving some problems in metric geometry of octahedra,in particular, for searching the proof of I.\,Hh~Sabitov hypothesis that allnon-leading coefficients of the volume polynomial for an octahedron of thirdtype are zero.

Metric description of flexible octahedra