https://webcyte.io has a custom implementation of some of these algorithms - allows you to study the code and hack on it, while running everything in the browser… it’s my personal project, work-in-progress, but may be useful for people who learn from code, like myself.

I was doing something similar with fluid equations on meshes more than ten years ago. Once you have Automatic Differentiation it's fairly straightforward to reformulate a time evolution process into one that solves for some free parameter.

It's a pity they don't give a video of the butterfly battle, that sounds a lot more impressive than the static 2d lizard.

What I'd love to see is a reproduction of the kind of embryo development videos you can get from lightsheet microscopy, e.g. https://youtube.com/watch?v=2Vnyph3Vmic

This seems like classic state estimation & process control duo. We are rediscovering things that other fields are applying for decades.