next | previous | forward | backward | up | top | index | toc | Macaulay2 website

OldPolyhedra :: interiorVector

interiorVector -- computes a vector in the relative interior of a Cone

Synopsis

Usage:

p = interiorVector C
Inputs:
- C, a convex rational cone
Outputs:
- p, a matrix, over QQ with only one column representing a vector

Description

interiorVector takes the rays of the Cone, computes the sum and divides by the gcd to get a primitive vector.

i1 : P = cyclicPolytope(3,4)

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

o1 : Polyhedron

i2 : C = posHull P

o2 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of the cone => 3
      number of facets => 3
      number of rays => 3

o2 : Cone

i3 : interiorVector C

o3 = | 3  |
     | 6  |
     | 14 |

              3        1
o3 : Matrix ZZ  <--- ZZ

Ways to use `interiorVector` :

"interiorVector(Cone)"

For the programmer

The object interiorVector is a method function.