2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124751Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the 1-skeleton of the pants complex.9 pages, 1 figureGeometric Topology57M50; 05C12text