Geodesic
Isometric implementations of Bricard's octahedra of type 1~and~2 with given volume
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 755-768

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The aim of this article is to prove that in most cases any positive root of the polynomials for volume of Bricard's octahedra of type 1 and 2 can be implemented as volume of some octahedra in $\mathbb R^3$, but there are some cases when it is not so. 
@article{FPM_2002_8_3_a9,
     author = {S. N. Mikhalev},
     title = {Isometric implementations of {Bricard's} octahedra of type 1~and~2 with given volume},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {755--768},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a9/}
}
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S. N. Mikhalev. Isometric implementations of Bricard's octahedra of type 1~and~2 with given volume. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 755-768. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a9/