2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61730We show that the coding of rotation by $α$ on $m$ intervals with rationally independent lengths can be recoded over $m$ Sturmian words of angle $α.$ More precisely, for a given $m$ an universal automaton is constructed such that the edge indexed by the vector of values of the $i$th letter on each Sturmian word gives the value of the $i$th letter of the coding of rotation.LIAFA reportCombinatoricsDynamical Systems68R15text