2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224497In this paper we prove the existence and uniqueness of matings of the basilica with any quadratic polynomial which lies outside of the 1/2-limb of M, is non-renormalizable, and does not have any non-repelling periodic orbits.Proof of Theorem 7.2 corrected in the updated versionDynamical Systems37F45; 37F20text