icosahedral group

icosahedral group

[ī‚käs·ə¦hē·drəl ′grüp]
(mathematics)
The group of motions of three-dimensional space that transform a regular icosahedron into itself.
References in periodicals archive ?
The lepton families correspond to the 3-D finite binary rotational groups called the binary tetrahedral group 2T, the binary octahedral group 2O, and the binary icosahedral group 2I, also labelled as [3, 3, 2], [4, 3, 2], and [5, 3, 2], respectively, in Table 1.
producing the appropriate rotations by the bosons), and we find the binary icosahedral group 2I or [5, 3, 2].
The elements of this icosahedral group, rotations and inversions, can be represented by the appropriate unit quaternions.
These operations of the binary icosahedral group [5, 3, 2] and the vertices of the hypericosahedron are defined by 120 special unit quaternions [q.