Could you elaborate or suggest any references? It sounds like you are saying something that appears chaotic forms some coherent beautiful image?

I know alpha refers to many things but one of those is the fine-structure constant. There's some remarkable beauty in it because it unites electromagnetism, relativity and quantum mechanics. And this is why many thought the reciprocal of alpha (137) would become as important as 0 and Pi.

I am assuming though none of that relates to fractals and that alpha in this context refers to the angles?