2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72549We study the geometry and topology of immersed surfaces in Euclidean 3-space whose Gauss map satisfies a certain two-piece-property, and solve the ``shadow problem" formulated by H. Wente.13 pages, published versionDifferential Geometry53A05, 53A04 (Primary), 52A15, 53C42 (Secondary)text