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D.16.2.31 minkowskiSum
Syntax:
Polymake::minkowskiSum( polytope p, polytope q )
Polymake::minkowskiSum( polytope p, cone c )
Polymake::minkowskiSum( cone c, polytope q )
Polymake::minkowskiSum( cone c, cone d )
Assume:
- same ambient dimension.
Type:
- polytope
Purpose:
- the Minkowski sum of the two input arguments.
Note:
- The Minkowski sum of two cones is just the cone generated by their union.
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 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
==>
==>
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