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About: Icosian     Goto   Sponge   NotDistinct   Permalink

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

Type: yago:Abstraction100002137yago:DefiniteQuantity113576101yago:Digit113741022yago:Four113744304yago:Integer113728499yago:Measure100033615yago:Number113582013yago:WikicatQuaternions New Facet based on Instances of this Class

In mathematics, the icosians are a specific set of Hamiltonian quaternions with the same symmetry as the 600-cell. The term can be used to refer to two related, but distinct, concepts: * The icosian group: a multiplicative group of 120 quaternions, positioned at the vertices of a 600-cell of unit radius. This group is isomorphic to the binary icosahedral group of order 120. * The icosian ring: all finite sums of the 120 unit icosians.