RotationTransform

RotationTransform[θ] gives a TransformationFunction that represents a rotation in 2D by θ radians about the origin.

RotationTransform[θ,p] gives a 2D rotation about the 2D point p.

RotationTransform[θ,w] gives a 3D rotation around the direction of the 3D vector w.

RotationTransform[θ,w,p] gives a 3D rotation around the axis w anchored at the point p.

RotationTransform[{u,v}] gives a rotation about the origin that transforms the vector u to the direction of the vector v.

RotationTransform[{u,v},p] gives a rotation about the point p that transforms u to the direction of v.

RotationTransform[θ,{u,v},…] gives a rotation by θ radians in the plane spanned by u and v.

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