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D.16.1.29 minimalFace

Syntax:
Polymake::minimalFace( polytope p, intvec v )
Assume:
v lies in the dual tail cone of p.
Type:
intmat
Purpose:
intmat, whose rows are the vertices of the face of p on which the linear form v is minimal.
Note:
The first coordinate of v corresponds to a shift of the minimal value since p is considered as a polytope in the plane (first coordinate) = 1. Hence the minimal face is independent of the first coordinate of v.
Example:
 
  intmat M[3][3]=1,1,0, 1,0,1, 1,-1,-1;
  intvec v = 0,1,1;
  polytope p = polytopeViaPoints(M);
  Polymake::maximalValue(p,v);
  v = -5,1,1;
  Polymake::maximalValue(p,v);

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