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 $$R³, but there are some cases when it is not so.

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Last modified: February 17, 2003