Rotation

Rotation is a form of transformation, moving every point within a shape about a point or axis while maintaining the radius from said point or axis. For a shape to be rotated a point (2D) or axis (3D) of rotation is required along with a direction and magnitude of rotation, anti clockwise is considered to be a positive rotation. __**Rotational Symmetry**__ A shape is said to have rotational symmetry if it can be rotated about a point by an angle less than 360 degrees and then be mapped directly back onto itself with a translation, at least once. The number of times within 360 degrees of rotation that the shape can achieve this mapping is the order of rotational symmetry.
 * __Rotation__**

Every shape has rotational symmetry of at least one as it can be rotated once to return back to it’s former self over 3600. The image above has rotational symmetry of order 2. Once looking at rotation in 3D the order of rotational symmetry can vary dependant on axis orientation as below: As can be seen this Dodecahedron has a different order of rotational symmetry depednat on the axis of rotation. For any axis of rotation an equivalent parallel axis would give the same order of symmetry.