Eutactic lattice
From Infogalactic: the planetary knowledge core
In mathematics, a eutactic lattice (or eutactic form) is a lattice in Euclidean space whose minimal vectors form a eutactic star. This means they have a set of positive eutactic coefficients ci such that (v, v) = Σci(v, mi)2 where the sum is over the minimal vectors mi. "Eutactic" means "well-situated" or "well-arranged".
Voronoi (1908) proved that a lattice is extreme if and only if it is both perfect and eutactic.
Conway & Sloane (1988) summarize the properties of eutactic lattices of dimension up to 7.
References
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