#### D.16.2.33 nHilbertBasis

`Syntax:`
  `Polymake::nHilbertBasis(` cone c `)`
`Type:`
  int
`Purpose:`
  the number of elements in the Hilbert basis of the semigroup of lattice points in c.
`Example:`

        LIB"polymake.lib";
      ==> Welcome to polymake
      ==> Copyright (c) 1997-2012
      ==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
      ==> http://www.polymake.org
        intmat M[3][4]=1,1,0,0, 1,0,1,0, 1,0,0,0;
        intmat N[3][4]=1,0,0,1, 1,-1,-1,-1, 1,0,0,0;
        polytope p = polytopeViaPoints(M);
        polytope q = polytopeViaPoints(N);
        polytope pq = Polymake::minkowskiSum(p,q);
      ==> 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
      ==>
        pq;
      ==> AMBIENT_DIM
      ==> 3
      ==> INEQUALITIES
      ==> 1,-1,-1, 0,
      ==> 1,-1,-1, 2,
      ==> 1,-1, 1, 0,
      ==> 1, 0, 0,-1,
      ==> 1, 0, 0, 1,
      ==> 1, 0, 2,-1,
      ==> 1, 1,-1, 0,
      ==> 1, 2, 0,-1
      ==> EQUATIONS
      ==>
      ==>

User manual for Singular version 4-0-3, 2016, generated by texi2html.