dynamic tiling

You are looking at an example of a dynamical tiling for a doubly periodic nonlinear map of the plane with a non-resonant rotation vector. I discovered such tilings in the Fall of 1999 and their existence is shown in my preprint "Combinatorics of Torus Diffeomorphisms" avaliable from my preprint page.

(This image used to be the background of my personal webpage at MSU.  The freedom to shape the personal pages as we see fit, including the choice of background, has been taken away ...)