D.16.2.23 latticeCodegree

Syntax:

Polymake::latticeCodegree( polytope p )

Type:

int

Purpose:

getDimension(p)+1-latticeDegree(p), which is the smallest number k such that k*p has an interior lattice point.

Example:

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