tetrahedral group

tetrahedral group

[‚te·trə′hē·drəl ‚grüp]
(mathematics)
The group of motions of three-dimensional space that transform a regular tetrahedron into itself.
References in periodicals archive ?
It was proved in [12] that among the finite groups of order less than 32 only the alternating group A4 (also called the tetrahedral group) and the binary tetrahedral group <a, b | [b.
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.
The 24 quaternions of the binary tetrahedral group [3, 3, 2] are contained already in the above 120 icosians.