2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160293We prove that if G is a triangulation of the torus and χ(G) \neq 5, then there is a 3-coloring of the edges of G so that the edges bounding every face are assigned three different colors.17 pages, 8 figures, submitted for review for publicationCombinatorics05C10; 05C15text