2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114052The complete sets of irreducible triangulations are known for the orientable surfaces with genus of 0, 1, or 2 and for the nonorientable surfaces with genus of 1, 2, 3, or 4. By examining these sets we determine some of the properties of these irreducible triangulations.10 pages, 1 figure, 5 tablesCombinatorics05c30; 05c10text