Linked from

The 31 pages that link to Quaternion, each with the reason it gives.

• Rigid body dynamicsRelated: It avoids singularities that can occur when orientation is represented by Euler angles.

• Angular displacementRelated: Quaternions represent orientation changes without the singularities of Euler angles.

• OrientationRelated: Unit quaternions encode orientation without the singularities that affect Euler angles.

• Rotation (geometry)Related: Quaternions avoid several numerical and representational problems of three-dimensional rotation.

• Unit sphereRelated: Unit quaternions form a sphere in four dimensions and represent spatial rotations.

• Rotation groupRelated: Unit quaternions provide an alternative representation of spatial rotations.

• SU(2)Related: Unit quaternions give a concrete parametrization of SU(2).

• Euler's four-square identityRelated: Quaternion norms turn the identity into the multiplicativity of squared length.

• Euler's rotation theoremRelated: Unit quaternions encode the same axis and angle without relying on rotation matrices.

• 24-cellRelated: The 24 vertices can also be represented by the 24 unit Hurwitz quaternions.

• 3-sphereRelated: Unit quaternions provide coordinates for every point of the unit 3-sphere.

• Degen's eight-square identityRelated: Quaternions provide the four-coordinate model that precedes the octonion construction.

• Rotations in 4-dimensional Euclidean spaceRelated: Pairs of unit quaternions provide a compact way to represent every rotation in SO(4).

• Tennis racket theoremRelated: Quaternions can track the body's orientation without the singularities of Euler angles.