I. Sabitov

collaborators

2 papers

math.MG2020

Elimination of parasitic solutions in theory of flexible polyhedra

I. Kh. Sabitov, D. A. Stepanov

The action of the rotation group $S O (3)$ on systems of $n$ points in the $3$ -dimensional Euclidean space $R^{3}$ induces naturally an action of $S O (3)$ on $R^{3 n}$ .…

math.MG2017

The volume of an infinitesimally flexible polyhedron is a multiple root of its volume polynomial

I. Kh. Sabitov

It is proven that the volume of an infinitesimally flexible polyhedron in $R^{3}$ is a multiple root of its volume polynomial.