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vertices -- displays the vertices of a Polyhedron or a PolyhedralComplex

Synopsis

Description

vertices returns the vertices of the Polyhedron or PolyhedralComplex P as the columns of the Matrix V.
i1 : P = intersection(matrix{{1,-1},{0,-1},{-1,-1},{0,1}}, matrix{{0},{-1},{0},{1}})

o1 = {ambient dimension => 2           }
      dimension of lineality space => 0
      dimension of polyhedron => 1
      number of facets => 2
      number of rays => 0
      number of vertices => 2

o1 : Polyhedron
i2 : vertices P

o2 = | -1 1 |
     | 1  1 |

              2       2
o2 : Matrix QQ  <-- QQ
i3 : PC = skeleton(2,polyhedralComplex hypercube 3)

o3 = {ambient dimension => 3             }
      number of generating polyhedra => 6
      top dimension of the polyhedra => 2

o3 : PolyhedralComplex
i4 : vertices PC

o4 = | 1 1  -1 -1 -1 -1 1  1  |
     | 1 -1 -1 1  -1 1  -1 1  |
     | 1 1  1  -1 -1 1  -1 -1 |

              3       8
o4 : Matrix QQ  <-- QQ

Ways to use vertices :

For the programmer

The object vertices is a method function.