Integer Lattice Article Index for
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Integer Lattice





AUTOMORPHISM GROUP


The automorphism group of the integer lattice consists of all permutations and sign changes of the coordinates, and is of order

:2''n ''n''!.

For the square lattice, this is the Group Of The Square , of order 8; for the three dimensional cubic lattice, we get the group of the cube, or Octahedral Group , of order 48.