2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75608We give a new proof of McShane's classification of simple cuspidal geodesics, using simple equivariant methods in the hyperbolic plane.A pdf version and a higher quality ps version are avalable at http://comp.uark.edu/~strauss/papers 12 pages, 10 color figures (viewable in gray scale)Metric GeometryGeometric Topology57M60, 51M10Simple geodesics on a punctured surfacetext