polytope UK /ˈpɒlɪˌtəʊp/US /ˈpɑliˌtoʊp/ noun1 •A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of n-dimensional space bounded by hyperplanes.As is well known, the theory of linear inequalities is closely related to the study of convex polytopes. — 1964 formspolytopes
