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Rotations in 4-dimensional Euclidean space
In mathematics, the group of rotations about a fixed point in four-dimensional Euclidean space is denoted SO(4). The name comes from the fact that it is (isomorphic to) the special orthogonal group of order 4.
In this article ''rotation'' means ''rotational displacement''. For the sake of uniqueness rotation angles are assumed to be in the segment except where mentioned or clearly implied by the context otherwise.
A "fixed plane" is a plane for which every vector in the plane is unchanged after the rotation. An "invariant plane" is a plane for which every vector in the plane, although it may be affected by the rotation, remains in the plane after the rotation.
==Geometry of 4D rotations==
Four-dimensional rotations are of two types: simple rotations and double rotations.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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