The Mandelbrot and Julia sets are the outcomes of specified functions and have a relationship with each other. But yeah I would speculate that something similar

The Mandelbrot and Julia sets are the outcomes of specified functions and have a relationship with each other. But yeah I would speculate that something similar, in the way that a Mandelbrot set is self-similar, would be observed in at least some circumstances. Gave you a vote for that. Edit: reading the article I can see that Julia sets are defined separately from the Mandelbrot set and the corresponding Julia set(s) are an example. So maybe you're right. I'm not really a mathematician, I just use math to get stuff done.