DIMACS TR: 93-88

On Lattices Equivalent to Their Duals

Authors: J. H. Conway and N.J.A. Sloane


A lattice is called isodual if it is geometrically congruent to its dual. We show that the densest three-dimensional isodual lattice is the ``central centered-cuboidal'' lattice, a lattice which is in a sense the mean of the face-centered and body-centered cubic lattices. This lattice is also the most economical three-dimensional isodual covering. We give a number of other dense isodual lattices in R^n, for n <= 24.

Paper available at: ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1993/93-88.ps
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