2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114190We develop a rather elaborate computer program to investigate the jointly periodic points of one-dimensional cellular automata. The experimental results and mathematical context lead to questions, conjectures and a contextual theorem.41 pages. paper is based on a computer program freely available at http://www.math.umd.edu/~mmb/cellauto/Dynamical Systems37B15; 37B10text