Eutactic Star 3D
In mathematics, the word ''eutactic'' may refer to: *Eutactic lattice *Eutactic star In Euclidean geometry, a eutactic star is a geometrical figure in a Euclidean space. A star is a figure consisting of any number of opposing pairs of Euclidean vector, vectors (or arms) issuing from a central origin. A star is eutactic if it is th ...

Eutactic Lattice
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 ''c''''i'' such that (''v'', ''v'') = Σ''c''''i''(''v'', ''m''''i'')2 where the sum is over the minimal vectors ''m''''i''. "Eutactic" is derived from the Greek language, and means "well-situated" or "well-arranged". proved that a lattice is extreme if and only if it is both perfect and eutactic. summarize the properties of eutactic lattices of dimension up to 7. References * ** * * * *{{Citation , last1=Voronoi , first1=G. , authorlink=Georgy Voronoy , title=Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Premier Mémoire: Sur quelques propriétés des formes quadratiques positives parfaites , url=http://resolver.sub.uni-goettingen.de/purl?GDZPPN002166534 , language=French , doi=10.1515/crll.1908.133.97 , year=1908 , j ...
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