[dannyb]

A model of an atom can be likened to a solar system

Um, no. Electrons do not have well-defined trajectories. Quantum particles should not in any way be compared to classical macroscopic objects.

I love fractals and finding examples of them in nature and science, but posts like these annoy me a bit. Saying that there are fractals everywhere is a bit like saying that we don't live in the Platonic plane.