2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/181964We present new M2 and M5 brane solutions in M-theory based on transverse self-dual Bianchi type IX space. All the other recently M2 and M5 branes constructed on transverse self-dual Taub-NUT, Egughi-Hanson and Atiyah-Hitchin spaces are special cases of this solution. The solution provides a smooth transition from Eguchi-Hanson type I based M branes to corresponding branes based on Eguchi-Hanson type II space. All the solutions can be reduced down to ten dimensional fully localized intersecting brane configurations.18 pages, 5 figures, minor changesHigh Energy Physics - Theorytext