2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73199We determine the homeomorphism type of the set of real points of a smooth projective toric surface. This note may serve as an expository introduction to some of the ideas and techniques in C. Delaunay's work on real toric varieties.expository note, 4 pages. v2: references addedAlgebraic Geometry14P25; 14M25text