This file illustrates iteration of a function with transformations of an SVG object.

•      ${\displaystyle r}$ is the clockwise rotation by 90°. ${\displaystyle r^{4}}$ is the identity. (The order of ${\displaystyle r}$ is 4.)
•      ${\displaystyle s}$ is a shear mapping. No exponent except 0 will produce the identity. (The order of ${\displaystyle s}$ is infinite.)
•      ${\displaystyle r\circ s}$ means first shear, then rotate.
•      ${\displaystyle s\circ r}$ means first rotate, then shear.

For both compositions the exponent 3 produces the identity. (Their order is 3.)