The rotation group in four dimensions, SO(4), has six degrees of freedom.

An analogous thing can be made to happen with the ordinary rotation group in three dimensions.

O is the rotation group of the cube and the regular octahedron.

The rotation group is often denoted SO(3) for reasons explained below.

It is the rotation group of the cube and octahedron.

The rotation group is D of order 6.

She was also in the marred rotation groups, but effortlessly landed her vault with a 9.7.

The configuration 2p has the symmetry of the following direct product in the full rotation group:

Therefore the set of rotations has a structure known as a rotation group.

Analysis in terms of the generators is known as the Lie algebra of the rotation group.