Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics

摘要

For polyhedra in general position that have a given combinatorial structure, an algorithm is suggested for finding all their metric characteristics, namely, their volumes, dihedral angles, and diagonals, from the lengths of their edges, and thus the possibility of developing a new line of geometric investigation is established, which, in analogy with the well-known term "solution of a triangle", can be called "solution of a polyhedron".