D.16.2.6 fVectorP

Syntax:

Polymake::fVectorP( polytope p )

Type:

intvec

Purpose:

the f-vector of p.

Note:

the computation works via an f-vector computation of a cone whose intersection with a hyperplan yields p, hence the return might not make sense intuitively if p is not bounded. However it can be regarded as the f-vector of p in (R')^n, where R' denotes the two point compactification of R and n is the dimension of the ambient space of p.

Example:

LIB"polymake.lib"; ==> Welcome to polymake ==> Copyright (c) 1997-2012 ==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt) ==> http://www.polymake.org intmat M[6][4]=1,1,1,2, 1,-1,-1,-2, 1,1,0,0, 1,-1,0,0, 1,0,1,0, 1,0,-1,0; polytope p = polytopeViaPoints(M); Polymake::fVectorP(p); ==> polymake: used package cdd ==> cddlib ==> Implementation of the double description method of Motzkin et al. ==> Copyright by Komei Fukuda. ==> http://www.ifor.math.ethz.ch/~fukuda/cdd_home/cdd.html ==> ==> 6,12,8