# Polyhedron * Cone -- computes the direct product of a polyhedron and a cone

• Operator: *
• Usage:
Q = P * C
• Inputs:
• Outputs:

## Description

Computes the direct product of P and C. This is the polyhedron {(p,c) | p in P, x in C}, in the direct product of the ambient spaces.

See also directProduct.

 i1 : P =convexHull matrix {{1},{-1}} o1 = {ambient dimension => 2 } dimension of lineality space => 0 dimension of polyhedron => 0 number of facets => 1 number of rays => 0 number of vertices => 1 o1 : Polyhedron i2 : C = posHull matrix {{1,2},{2,1}} o2 = {ambient dimension => 2 } dimension of lineality space => 0 dimension of the cone => 2 number of facets => 2 number of rays => 2 o2 : Cone i3 : Q = P * C o3 = {ambient dimension => 4 } dimension of lineality space => 0 dimension of polyhedron => 2 number of facets => 3 number of rays => 2 number of vertices => 1 o3 : Polyhedron i4 : (vertices Q,rays Q) o4 = (| 1 |, | 0 0 |) | -1 | | 0 0 | | 0 | | 2 1 | | 0 | | 1 2 | o4 : Sequence