Fractals are fascinating things. In mathematical-like language, it all sounds like that:
By iterating or repeating fractal-generating equations many times, random outputs create beautiful patterns that are unique, yet recognizable. (Wired)
Simply put, a fractal is made of smaller versions of itself, in turns made of smaller versions, and so forth. The repetition of chaos creates order. If you look closely at a cauliflower, it will all make sense: a cauliflower is basically the assemblage of mini-cauliflowers.
What is so cool about fractal patterns is that they are not just mathematical concepts, but are everywhere in nature. And they are just stunning.