Delaunay-Ito method

The unit cell reduction using Delaunay-Ito method can be easily automated as is done in the ITO indexing computer code, which is discussed in section 5.11. The Delaunay-Ito reduced unit cell, however, may not be the one with the shortest possible vectors, although the latter is conventionally defined as a standard reduced unit cell. 

Reduces the resultant unit cell by using the Delaunay-Ito method and then transforms it into one of the 14 Bravais lattices if the lattice is not primitive. 

---