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About: Eutactic star     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Vector105864577, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: personyago:WikicatVectorsyago:Abstraction100002137yago:Cognition100023271yago:Concept105835747yago:Content105809192yago:Idea105833840yago:PsychologicalFeature100023100yago:Quantity105855125yago:Variable105857459yago:Vector105864577 New Facet based on Instances of this Class

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 vectors (or arms) issuing from a central origin. A star is eutactic if it is the orthogonal projection of plus and minus the set of standard basis vectors (i.e., the vertices of a cross-polytope) from a higher-dimensional space onto a subspace. Such stars were called "eutactic" – meaning "well-situated" or "well-arranged" – by , p. 134) because, for a common scalar multiple, their vectors are projections of an orthonormal basis.