2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148876The general solutin to the constraints that define relativistic spin networks vertices is given and their relations with 3-dimensional quantum tetrahedra is dicussed. An alternative way to handle the constraints is also presented.3 pages, LaTeX, previous results clarified, new statements madeGeneral Relativity and Quantum CosmologySpace of the vertices of relativistic spin networkstext