# secondaryPolytope -- computes the secondary polytope of a compact polyhedron

## Synopsis

• Usage:
Q = secondaryPolytope P
• Inputs:
• Outputs:

## Description

The secondary polytope parametrises the regular cell decompositions of a polytope. See ... to be added.

 i1 : P = crossPolytope 2 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 : Q = secondaryPolytope P o2 = {ambient dimension => 4 } dimension of lineality space => 0 dimension of polyhedron => 1 number of facets => 2 number of rays => 0 number of vertices => 2 o2 : Polyhedron i3 : vertices Q o3 = | 1/3 1/6 | | 1/3 1/6 | | 1/6 1/3 | | 1/6 1/3 | 4 2 o3 : Matrix QQ <--- QQ

## Ways to use secondaryPolytope :

• "secondaryPolytope(Polyhedron)"

## For the programmer

The object secondaryPolytope is .