ON LATTICES EQUIVALENT TO THEIR DUALS

[摘要] A lattice is called isodual if it is geometrically congruent to its dual. We show that the densest three-dimensional isodual lattice is the ''mean 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), n less-than-or-equal-to 24. (C) 1994 Academic Press, Inc.

[发布日期] 1994-09-01