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OldPolyhedra :: interiorPoint

interiorPoint -- computes a point in the relative interior of the Polyhedron

Synopsis

Description

interiorPoint takes the vertices of the Polyhedron and computes the sum multiplied by 1/n, where n is the number of vertices.

i1 : P = cyclicPolytope(3,5)

o1 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of polyhedron => 3
      number of facets => 6
      number of rays => 0
      number of vertices => 5

o1 : Polyhedron
i2 : interiorPoint P

o2 = | 2  |
     | 6  |
     | 20 |

              3        1
o2 : Matrix QQ  <--- QQ

Ways to use interiorPoint :

For the programmer

The object interiorPoint is a method function.