2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57344In this article we review some problems in physics, chemistry and mathematics that lead naturally to a class of polyhedra which include the Platonic solids. Examples include the study of electrons on a sphere, cages of carbon atoms, central configurations of gravitating point particles, rare gas microclusters, soliton models of nuclei, magnetic monopole scattering and geometrical problems concerning point particles.22 pages, including 9 figures. To appear in the Milan Journal of MathematicsMathematical PhysicsHigh Energy Physics - Theorytext