Edge-of-Chaos Fluid — the same symmetry in logic and form

The thinking behind it is laid out in a short essay, Approximating Nothing.

A custom Houdini fluid solver where the rule and the image share one symmetry: the structure you see on screen is the structure inside the rule. Keeping that structure is the hard part. Push material into a fluid and it usually spreads into an even mush within a few steps, the way ink loses itself in water — entropy takes over and the frame goes flat. This solver keeps a structure standing for thousands of frames, holding steady in the band between blowing out to white and fading to black. It behaves like a dissipative structure: the order lives on the flow passing through it. The mechanism is its own scheme for advecting colour and the driving fields, a custom dune solver, and a set of divergence-control modules, with advection treated as a design decision in its own right.