2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60308We study the situation where we have two exceptional Dehn fillings on a given hyperbolic 3-manifold. We consider two cases that one filling creates a projective plane, and the other creates an essential torus or a Klein bottle, and give the best possible upper bound on the distance between two fillings for each case.19 pages, 11 figuresGeometric Topology57M50text