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

Synopsis

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.

Please see V- and H-representation on the conventions we use for cones and polyhedra.

i1 : P = polyhedronFromHData(matrix{{1,-1},{0,-1},{-1,-1},{0,1}}, matrix{{0},{-1},{0},{1}})

o1 = P

o1 : Polyhedron

i2 : vertices P

o2 = | -1 1 |
     | 1  1 |

              2        2
o2 : Matrix QQ  <--- QQ

i3 : PC = skeleton(2,polyhedralComplex hypercube 3)

o3 = PC

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.