2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65683We show that the analog of Hamilton's Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston's circle packing on surfaces. As a consequence, a new proof of Thurston's existence of circle packing theorem is obtained. As another consequence, Ricci flow suggests a new algorithm to find circle packings.25 pages, no figuresDifferential GeometryGeometric Topology53C44; 52C26text