octahedral group

octahedral group

[‚äk·tə′hē·drəl ‚grüp]
(mathematics)
The group of motions of three-dimensional space that transform a regular octahedron into itself.
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References in periodicals archive ?
3+]ions are distributed between tetrahedral and octahedral sites, and the other low frequency modes are performed the characteristics of the octahedral group (B-site) of ferrites [26].
His topics include the octahedral group and the octahedral double group, Lie groups and Lie algebras, Coxeter's reflection groups, ALE spaces and gravitational instantons, knots and links and braids, elliptic curves and the monster group, sphere packing and error-correcting codes, the holographic principle, Calabi-Yau spaces and mirror symmetry, and Heisenberg algebras.
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.