 In the conical combination description, formula_10 can be represented by a finite set of vectors formula_19 such that formula_10 is the conical combination of formula_21, or formula_22.Every finitely generated cone is a polyhedral cone, and every polyhedral cone is a finitely generated cone.Every polyhedral cone has a unique representation as a conical hull of its extremal generators, and every polyhedral cone has a unique representation of intersections of halfspaces, given each linear form associated with the halfspaces also define a support hyperplane of a facet.