2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/81043In this paper we describe new classes of periodic solutions for point vortices on a plane and a sphere. They correspond to similar solutions (so-called choreographies) in celestial mechanics.15 pages, 6 figuresExactly Solvable and Integrable SystemsNew periodic solutions for three or four identical vortices on a plane and a spheretext