2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160977Let $Σ$ be a compact surface. We prove that the set of surface cubications modulo flips, up to isotopy, is in one-to-one correspondence with $\Z/2\Z\oplus H_1(Σ,\Z/2\Z)$.revised version, 18pGeometric TopologyCombinatorics05 C 10, 57 R 70, 55 N 22, 57 M 35text