"How to squash a mathematical tomato", Rubic's cube-like surfaces and their connection to reversible computation.

Here we show how reversible computation processes, like Margolus diffusion,can be envisioned as physical turning operations on a 2-dimensional rigidsurface that is cut by a regular pattern of intersecting circles. We thenbriefly explore the design-space of these patterns, and report on the discoveryof an interesting fractal subdivision of space by iterative circle packings. Wedevise two different ways for creating this fractal, both showing interestingproperties, some resembling properties of the dragon curve. The patternspresented here can have interesting applications to the engineering of modular,kinetic, active surfaces.