There is an app on Android https://play.google.com/store/apps/details?id=com.workSPACE.... which seems to generate fractals using something similar because the final effects looks lot like this video and it's not slow like computed fractals. I played with this app years ago and it feels very different.

Edit: Using some slow pinches you can put the image in a continously looping state like a time crystal.

Edit: someone made a shader that behaves exactly like Fraksl. https://www.shadertoy.com/view/43lfDn

Okay - but this is an art project that does not use software at all. A software project is something entirely different.