I did some stuff with a professor in undergrad where I was a code monkey for his harmonic analysis research, and to be more useful(since I hadn't had much analysis) I went to the lectures of his HA course and this was one of the few things I retained.

Personally I think the cool thing about these(and also fractals, which display this as iterations go to infinity) is that they have infinite lengths in a finite(though obviously infinitely subdividable) span.