2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61865We develop a method to find a set of diminimal polyhedral maps on the torus from which all other polyhedral maps on the torus may be generated by face splitting and vertex splitting. We employ this method, though not to its completion, to find 53 diminimal polyhedral maps on the Torus.CombinatoricsGeometric Topology05C30; 52B99text