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A Lattice which is built up of layers of 
-D lattices in 
-D space.  The
Vectors specifying how layers are stacked are called Glue Vectors.
See also Glue Vector, Lattice
References
Conway, J. H. and Sloane, N. J. A.  ``Laminated Lattices.''
  Ch. 6 in Sphere Packings, Lattices, and Groups, 2nd ed.
  New York: Springer-Verlag, pp. 157-180, 1993.