I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1996, VOLUME 2, NUMBER 4, PAGES 1235-1246
I. Kh. Sabitov
View as HTML View as gif image
It is proved that the volume of any polyhedron is root of some polynomial whose coefficients are not depending on the concrete form of the polyhedron in three-space under the condition that its metric is known a priori. As consequence we have a proof of the “bellows conjecture” affirming the invariance of volume of a flexible polyhedron in the process of its flexion.
|Main page||Contents of the journal||News||Search|
Last modified: March 19, 2005