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I had an idea to try to iterate random powers. Such as z=z^random +c.
At first it generated almoust nothing, as positive and negative numbers nullify each other. Then z=z^abs(random) +c generated something. Then with limiting random range it generated pretty interesting fractals, especialy julias of a burning ship version. Each random seed then generates different fractal. Something like:

int RRandpower = seed = random(seed)
int IRandpower = seed = random(seed)

Randpower=( abs (RRandpower) /(#randomrange/5)) + flip(abs (IRandpower) /(#randomrange/5))

z=abs(z)^Randpower+c

Probably a simmilar to burning ships with imaginary powers, never tried. With maximum iterations = 100, there must be 100 different fractional powers. Countrary to this, this formula works best with plain smoothed iterations colouring.






In Chaos Pro this generate something simmilar, jet different. Random numbers in each programm are different.

Cool idea and images Alef... And now... Can you port it to 3D? 

Tested alternating random formulas. Well, the result looks very simmilar (throught i think boring). This should be solely property of random numbers, with large enought max iterations orbits escapes whenever it's possible, and instead of line art creates escaping regions.

Well, this should be pretty possible in 3D, random number mandelbulb woun't require great programming skills, but here main interest are complex power, and so far haven't seen complex power mandelbulb but that's possible.