I wish Blender had a 3D fractal generator system

@Thesonofhendrix
Fractals can be done with volumetrics: https://youtube.com/watch?v=WSQFt1Nruns
If you are determined you can implement more formulas like Mandelbox, Julia and Sierpiński sets.
Just beware, that render times for volumes can be long - depending on your shader setup.

I followed the tutorial, made some tweaks along the way and rendered with Cycles:
In last two I used selective emission on both surface and volume.

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