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OldPolyhedra :: affineHull

affineHull -- computes the affine hull of a polyhedron

Synopsis

Description

Computes the affine hull of a polyhedron. This is the affine subspace with the same dimension as the polyhedron, containing the polyhedron.

i1 : P = stdSimplex 3

o1 = {ambient dimension => 4           }
      dimension of lineality space => 0
      dimension of polyhedron => 3
      number of facets => 4
      number of rays => 0
      number of vertices => 4

o1 : Polyhedron
i2 : Q = affineHull P

o2 = {ambient dimension => 4           }
      dimension of lineality space => 3
      dimension of polyhedron => 3
      number of facets => 1
      number of rays => 0
      number of vertices => 1

o2 : Polyhedron
i3 : linSpace Q

o3 = | -1 -1 -1 |
     | 1  0  0  |
     | 0  1  0  |
     | 0  0  1  |

              4        3
o3 : Matrix ZZ  <--- ZZ

Ways to use affineHull :

For the programmer

The object affineHull is a method function.