2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64073We announce a classification of genus 2 Veech surfaces in the stratum with a single double zero. Furthermore, we classify all completely periodic translation surfaces in genus 2.Dynamical Systems37A99 (Primary), 37E15, 37D40, 37D50 (Secondary)Veech surfaces and complete periodicity in genus 2text