2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75775The mathematical software system polymake provides a wide range of functions for convex polytopes, simplicial complexes, and other objects. A large part of this paper is dedicated to a tutorial which exemplifies the usage. Later sections include a survey of research results obtained with the help of polymake so far and a short description of the technical background.CombinatoricsMetric Geometrytext