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DCG
1998

The Volume as a Metric Invariant of Polyhedra

11 years 9 months ago
The Volume as a Metric Invariant of Polyhedra
It is proved that in R3 the volume of any polyhedron is a root of some polynomial with coefficients depending only on the combinatorial structure and the metric of the polyhedron. As a consequence, we have a proof of the “bellows conjecture” affirming the invariance of the volume of a flexible polyhedron in the process of its flexion.
Idzhad Kh. Sabitov
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 1998
Where DCG
Authors Idzhad Kh. Sabitov
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