A figure has rotational symmetry when it can be rotated less than 360° about a point and the preimage
and image appear to be the same.
A figure has a rotational symmetry of order 3 when it can rotate 3 rotations less than 360° that can
produce an image that is the same as the original.
The magnitude of the rotational symmetry for a figure is 360° divided by the order.
Example
This design has rotation symmetry about the center point for rotations of 0°, 45°, 90°, 135°, 180°, 225°,
270°, and 315°. There are eight rotations less that 360°, so the order is 8, and the magnitude is 360 ÷ 8 =
45°.