toSublattice can only be applied to polytopes, i.e. compact polyhedra. It calculates a basis of the sublattice generated by its lattice points, and then takes the affine preimage under the corresponding map.
i1 : P = convexHull transpose matrix {{0,0,0},{1,0,0},{0,1,0},{1,1,3}} o1 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of polyhedron => 3 number of facets => 4 number of rays => 0 number of vertices => 4 o1 : Polyhedron |
i2 : toSublattice P o2 = {ambient dimension => 3 } dimension of lineality space => 0 dimension of polyhedron => 3 number of facets => 4 number of rays => 0 number of vertices => 4 o2 : Polyhedron |
The object toSublattice is a method function.