2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125844This paper deepens the connections between critically finite rational maps and finite subdivision rules. The main theorem is that if f is a critically finite rational map with no periodic critical points, then for any sufficiently large integer n the iterate f^n is the subdivision map of a finite subdivision rule.10 pagesDynamical Systems37F10; 52C20text