Arnold's Cat Map is a transformation that can be applied to an image. The pixels of the image appear to be randomly rearranged, but when the transformation is repeated enough times, the original image will reappear!
Iteration currently showing: 0
The transformation is as follows:
This transformation demonstrates some of the principles of chaos i.e. underlying order to an apparently random evolution of a system. Arnold's Cat Map is named after the Russian mathematician Vladimir Arnold, who discovered it using an image of a cat.
Cat image courtesy of miss pupik.
Thanks to Denis Lukianov for his comments and inspiring the buttons for stepping through iterations one at a time.