2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129210We present a fast enumeration algorithm for combinatorial 2- and 3-manifolds. In particular, we enumerate all triangulated surfaces with 11 and 12 vertices and all triangulated 3-manifolds with 11 vertices. We further determine all equivelar polyhedral maps on the non-orientable surface of genus 4 as well as all equivelar triangulations of the orientable surface of genus 3 and the non-orientable surfaces of genus 5 and 6.24 pages, revised section on equivelar surfaces, to appear in Eur. J. CombCombinatorics57Q15; 05C30; 52B22text