2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119394We prove the existence of nonperiodic, properly embedded minimal surfaces in $\mathbb{R}^2\times\mathbb{S}^1$ with genus zero, infinitely many ends and one limit end (in particular, they have infinite total curvature).16 pages, 3 figuresDifferential Geometry49Q05 ; 53A10text