Most fractals utilize the same rule at each iteration. For example, the Sierpinski Triangle continues to divide in the same manner at each step:
The challenge is to create a fractal (any kind you wish) where the rule itself changes at each iteration, according to some rule (of your choosing). A fractal fractal, or nonlinear fractal.
Looking forward to some cool ideas!
Dear @Bryan Lettner, thank you very much for creative encouragement of the community! Yet one of the key rules of the forum is showing some effort of you own in the form of the Wolfram Language code. Could you please pave the way for others (perhaps just some starting code ideas?), thank you :-) Please see these rules for future guidance: http://wolfr.am/READ-1ST