# polar -- computes the polar of a polyhedron

• Usage:
Pv = polar P
• Inputs:
• Outputs:
• Pv,

## Description

The polar polyhedron of P in n-space is the polyhedron in the dual space given by {v in (QQ^n)^* | v*p >= -1 for all p in P}.

 i1 : P = hypercube 3 o1 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of polyhedron => 3 number of facets => 6 number of rays => 0 number of vertices => 8 o1 : Polyhedron i2 : Q = polar P o2 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of polyhedron => 3 number of facets => 8 number of rays => 0 number of vertices => 6 o2 : Polyhedron i3 : Q == crossPolytope 3 o3 = true

## Ways to use polar :

• "polar(Polyhedron)"

## For the programmer

The object polar is .