# Cone + Polyhedron -- computes the Minkowski sum of a cone and a polyhedron

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

## Description

Computes the Minkowski sum of C and P.This is the polyhedron C + P = {c + p | c in C, p in P}. Note that C and P have to lie in the same ambient space.

See also minkowskiSum.

 i1 : C = posHull matrix {{1},{2},{0}} o1 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of the cone => 1 number of facets => 1 number of rays => 1 o1 : Cone i2 : P = hypercube 3 o2 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of polyhedron => 3 number of facets => 6 number of rays => 0 number of vertices => 8 o2 : Polyhedron i3 : Q = C + P o3 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of polyhedron => 3 number of facets => 6 number of rays => 1 number of vertices => 6 o3 : Polyhedron i4 : (vertices Q,rays Q) o4 = (| -1 1 -1 -1 1 -1 |, | 1 |) | -1 -1 1 -1 -1 1 | | 2 | | -1 -1 -1 1 1 1 | | 0 | o4 : Sequence