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 = P

o1 : Polyhedron

i2 : C = coneFromVData P

o2 = C

o2 : Cone

i3 : interiorVector C

o3 = | 3  |
     | 6  |
     | 14 |

              3        1
o3 : Matrix ZZ  <--- ZZ