2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62636We consider polyhedral cones, associated with quasi-semi-metrics (oriented distances), in particular, with oriented multi-cuts, on n points. We computed the number of facets and of extreme rays, their adjacencies, and incidences of the cones QMET_n and OMCUT_n for n=3, 4, 5 (see Table 1) and, partially for n=6. Some results for general n are also given17 pagesMetric GeometryCombinatoricstext