2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127061We define and solve the toric version of the symplectic ball packing problem, in the sense of listing all 2n-dimensional symplectic-toric manifolds which admit a perfect packing by balls embedded in a symplectic and torus equivariant fashion. In order to do this we first describe a problem in geometric-combinatorics which is equivalent to the toric symplectic ball packing problem. Then we solve this problem using arguments from Convex Geometry and Delzant theory. Applications to symplectic blowing-up are also presented, and some further questions are raised in the last section.17 pages, 6 figuresSymplectic GeometryCombinatorics53D05; 53D20; 52B11text