Neat! Have you looked at orbits for points on the boundary? For example, if abs(z)=1 then (2z-z²)/4 is a point on the main cardioid.

@codeismycanvas

Here's Scott Manley ona tour of NASA's supercomputers where we get treated insights into simulating fluid dynamics.

https://www.youtube.com/watch?v=vDWQHZ4Fy6I

Not much maths but maybe still an interesting watch

@highergeometer

Cohomology for Kids? Thanks! I wrote a lot more than that, not much of it as tidy, though. My earlier attempt at that topic was quite... confused :D […]

Oh, the gray parameters aren't necessrily connected. Sub-bulbs, minibrots or similar structures seem disconnected.

While you're at drawing solutions to equations for fixed points, did you notice that these graphs can be extended beyond parameter a = 4? When I posted about this on g+ a few years I got a lot of feedback from people, showing that doing that somehow made their thoughts click in some way.

@johndcook

Abdelaziz Nait Merzouk made gorgeous renderings! They are really something to aspire to. I would really like to make similar ones in shadertoy. First get a Newton root finder implemented and then see what I can do with that. Another inspiration is to try and get something like @KangarooPhysics's […]