2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166760We show that a plane continuum X is indecomposable iff X has a sequence (U_n) of not necessarily distinct complementary domains satisfying what we call the double-pass condition: If one draws an open arc A_n in each U_n whose ends limit into the boundary of U_n, one can choose components of U_n minus A_n whose boundaries intersected with the continuum (which we call shadows) converge to the continuum.11 pages, 3 figures. To appear in Proceedings of the American Mathematical SocietyGeneral TopologyDynamical Systems54F15 (Primary); 37F20 (Secondary)text