Integer Torus Maps Applied to Letterforms
Initializing live version

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
When the matrix {{a,b},{c,d}} is invertible, the image always eventually returns to its original form after some number of steps.
Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
With the matrix {{2,1},{1,1}} this is often called the Arnold cat map.
Permanent Citation