fVector -- computes the f-vector of a Cone, Polyhedron, Fan or PolyhedralComplex

Synopsis

Usage:

f = fVector C

f = fVector P
Inputs:
- P, an instance of the type PolyhedralObject
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 = P

o1 : Polyhedron

i2 : fVector P

o2 = {5, 9, 6, 1}

o2 : List

Ways to use fVector :

fVector(PolyhedralObject)

For the programmer

The object fVector is a method function.