FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 3, PAGES 755-768

**Isometric implementations of Bricard's octahedra of type
1 and 2 with given volume**

S. N. Mikhalev

Abstract

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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.
```

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Location: http://mech.math.msu.su/~fpm/eng/k02/k023/k02310t.htm.

Last modified: February 17, 2003