fVector -- computes the f-vector of a Cone or Polyhedron

Synopsis

• Usage:
f = fVector C
f = fVector P
• Inputs:
• Outputs:
• L, a list, containing the number of faces for each codimension

Description

The i-th entry of the f-vector of P is the number of dimension i-1 faces of P, so it starts with the number vertices, has dim(P)+1 entries, and the last entry is 1 for P itself. It is the same for a Cone C.

 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 : fVector P o2 = {5, 9, 6, 1} o2 : List

Ways to use fVector :

• "fVector(Cone)"
• "fVector(Polyhedron)"

For the programmer

The object fVector is .