2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64424This paper had a serious error. In fixing the error the emphasis of the paper has changed completely, thus meriting a new name: ``Periodic orbits in right triangles''. I have made a new submission to arXiv with this name.Dynamical SystemsMathematical Physics37B, 37CCentral symmetries of periodic billiard orbits in right trianglestext