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OldPolyhedra :: secondaryPolytope

secondaryPolytope -- computes the secondary polytope of a compact polyhedron

Synopsis

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 :

For the programmer

The object secondaryPolytope is a method function.