2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/201919We review some of the most striking properties of the phase diagrams of higher dimensional black holes in pure gravity. We focus on static black hole solutions with Kaluza-Klein asymptotics and stationary black hole solutions in flat Minkowski space. Both cases exhibit a rich pattern of interconnected phases and merger points with topology changing transitions. In the first case, the phase diagram includes uniform and non-uniform black strings, localized black holes and sequences of Kaluza-Klein bubbles. In the latter case, it includes Myers-Perry black holes, black rings, black saturns and pinched black holes.21 pages, 9 figures. Invited review for Modern Physics Letters A; v2 references addedHigh Energy Physics - Theorytext