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OldPolyhedra :: toSublattice

toSublattice -- calculates the preimage of a polytope in the sublattice generated by its lattice points

Synopsis

Description

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

Ways to use toSublattice :

For the programmer

The object toSublattice is a method function.