2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78891In the previous version of the paper it was announced that ``sphere homeomorphic flexible polyhedra (with self intersections) do really exist in n-dimensional Euclidean, Lobachevskij and spherical spaces for each $n\geq 3$.'' Now the paper has been withdrawn by the author, due a crucial error in the proof of the main theorem.LaTeX 2.09; 1 page; withdrawMetric Geometry52C25 (Primary) 52B11 (Secondary)Higher dimensional flexible polyhedratext