2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61669In a Type III degeneration of K3-surfaces the dual graph of the central fibre is a triangulation of the 2-sphere. We realise the tetrahedral, octahedral and especially the icosahedral triangulation in families of K3-surfaces, preferably with the associated symmetry groups acting.31 pages, 7 ps-figuresAlgebraic Geometry14J28text