
IDZHAD KH. SABITOV, Faculty of Mechanics and Mathematics, Moscow State University, 119899 Moscow, Russia 
Solution of polyhedra 
By analogy with the chapter of elementary mathematics named ``the
solution of triangles'' we can propose an idea for finding all metric
characteristics of a polyhedron based on the knowledge of its metric
and combinatorial structure. The essential moment of the proposed
approach is the generalized Heron's formule for volumes of isometric
polyhedra established in [1]. Namely we affirm that the volumes of all
isometric polyhedra with a fixed combinatorial simplicial structure
Kand given lengths (l) of its edges are roots of a polynomial
equation
References
1. I. Kh. Sabitov, Fund. i Prikl. Mat. 2(1996), 12351246.