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

Usage:

V = vertices P
Inputs:
- P, a convex polyhedron, or an instance of the type PolyhedralComplex
Outputs:
- V, a matrix

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:

vertices(PolyhedralComplex)
vertices(Polyhedron)

For the programmer

The object vertices is a method function.

The source of this document is in OldPolyhedra.m2:5410:0.