# Singular

#### D.13.2.18 boundaryLatticePoints

Procedure from library `polymake.lib` (see polymake_lib).

Usage:
boundaryLatticePoints(p); p polytope

Assume:
isBounded(p)==1

Return:
intmat, all lattice points on the relative boundary of p

Example:
 ```LIB "polymake.lib"; ==> Welcome to polymake version ==> Copyright (c) 1997-2015 ==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt) ==> http://www.polymake.org intmat M[3][3]= 1,2,-1, 1,-1,2, 1,-1,-1; polytope p = polytopeViaPoints(M); boundaryLatticePoints(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 ==> ==> polymake: used package ppl ==> The Parma Polyhedra Library (PPL): A C++ library for convex polyhedra ==> and other numerical abstractions. ==> http://www.cs.unipr.it/ppl/ ==> ==> 1,-1,-1, ==> 1,-1,0, ==> 1,-1,1, ==> 1,-1,2, ==> 1,0,-1, ==> 1,0,1, ==> 1,1,-1, ==> 1,1,0, ==> 1,2,-1 intmat N[2][3]= 1,2,0, 1,0,2; polytope q = polytopeViaPoints(N); boundaryLatticePoints(q); ==> 1,0,2, ==> 1,2,0 ```