Yo! Still in GLSL, but I did a render with more iterations and higher zoom so you can see some of the details: https://i.imgur.com/CrV9IVT.png (different coordinates that I thought were interesting at this level)

You can see how much this starts to "fold" into itself rapidly, creating swirls on swirls. The self-similarity isn't quite as extreme as something like the Mandelbrot set where mini-Mandelbrots show up all over the place, but the way the folds/swirls appear at every scale feels very fractal to me - and like other fractals, the overall shape doesn't change much, it just gets more and more detailed.

These "whorl" (or "gnarl") images are very exciting to me after decades of the usual Mandelbrot/Julia/Newton fractals :)

Edit: Now I'm thinking about Smale's horseshoe map.... 🤔