I have to say, this is exactly the kind of book a teenager will deem profound.
It's essentially the same chapter rephrased about 20 times and manages to stretch a rather simple idea (conceptually, not the proof behind it) way too long. 100 pages would have been enough.
Maybe I'm biased, because I read it after graduating in computer science, but to me it seemed rather meh. Yeah, recursion exists, yeah fractals are weird, yeah systems can't accurately describe themselves.