Geodesic
The polyhedron's volume as a function of length of its edges
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 305-307.

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It is shown that the volume of a sphere type polyhedron may be calculated as a root of a polynomial with coefficients depending only on the polyhedron's metric and hence for these polyhedra the volume invariance hypothesis is established. 
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     author = {I. Kh. Sabitov},
     title = {The polyhedron's volume as a function of length of its edges},
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I. Kh. Sabitov. The polyhedron's volume as a function of length of its edges. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 305-307. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a18/