2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115620Our main theorem asserts that every Farey graph embedded in the 1-skeleton of the pants complex of any finite type surface is totally geodesic.13 pages, 6 figures. Minor changes in exposition, one reference addedGeometric TopologyCombinatoricsMetric Geometry57M50; 05C12text