Fórmulas trigonométricas para poliedros esféricos e hiperbólicos

Abstract

The Gram matrix of a spherical or hyperbolic polyhedron uniquely determines it and contains all the information about the dihedral angles. In this note we present formulae for the edge lenghts, heights and planar angles of the polyhedron in term of its Gram matrix. We also do the same in terms of the lenght matrix.