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

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

## Description

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

See also directProduct.

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