# Polyhedron * Polyhedron -- computes the direct product of two polyhedra

• Operator: *
• Usage:
Q = P1 * P2
• Inputs:
• P1,
• P2,
• Outputs:

## Description

Computes the direct product of P1 and P2.This is the polyhedron {(x,y) | x in P1, y in P2}, in the direct product of the ambient spaces.

 i1 : P1 = convexHull matrix {{1,-1,0,0},{0,0,1,-1}} o1 = {ambient dimension => 2 } dimension of lineality space => 0 dimension of polyhedron => 2 number of facets => 4 number of rays => 0 number of vertices => 4 o1 : Polyhedron i2 : P2 = 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 : P = P1 * P2 o3 = {ambient dimension => 4 } dimension of lineality space => 0 dimension of polyhedron => 2 number of facets => 4 number of rays => 0 number of vertices => 4 o3 : Polyhedron i4 : vertices P o4 = | -1 1 0 0 | | 0 0 -1 1 | | 1 1 1 1 | | -1 -1 -1 -1 | 4 4 o4 : Matrix QQ <--- QQ