BUILT-IN MATHEMATICA SYMBOL

RotationTransform

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

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

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

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

Details Details

RotationTransform gives a TransformationFunction that can be applied to vectors.
Degree or specifies an angle in degrees.
RotationTransform[, {u, v}, p] can be used to specify any rotation about any point p, in any number of dimensions.
Positive in RotationTransform[, {u, v}, p] corresponds to going from the direction of u toward the direction of v.
RotationTransform[] is equivalent to RotationTransform[, {{1, 0}, {0, 1}}].
RotationTransform[, w] is equivalent to RotationTransform[, {u, v}], where , , and form a right-handed coordinate system.
RotationTransform[, {u, v}] can effectively specify any element of the -dimensional rotation group . RotationTransform[, {u, v}, p] can effectively specify any element of the -dimensional special Euclidean group.