2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123334We define and discuss the notion of pseudospherical surfaces in asymptotic coordinates on time scales. Two special cases, namely dicrete pseudospherical surfaces and smooth pseudosperical surfaces are consistent with this description. In particular, we define the Gaussian curvature in the discrete case.13 pagesDifferential GeometryClassical Analysis and ODEs53A05, 39A12, 52C07, 65D17text