I can't say I recommend buying this expensive book, but I recommend finding a copy and spending a few hours with it. Then decide.
As for fractals, I suspect Wolframs's cellular automata are even simpler, conceptually, but can produce complex patterns that are unpredictable and NOT self-similar. If nothing else, they prove that a few simple rules can result in infinite complexity.
It is interesting that while evolutionists rant against 'intelligent design' they are trying to use the most obvious example of intelligent design - programming - to support their theory. Problem you folk have is that not a single rock has ever written an algorithm.