A subset of is called a convex polyhedron if it is the set of solutions to a finite system of linear inequalities, and called convex polytope if it is a convex polyhedron and bounded. When a convex polyhedron (or polytope) has dimension , it is called a -polyhedron (-polytope). For the sequel, we might omit convex for convex polytopes and polyhedra, and call them simply polytopes and polyhedra.