It's amazing how much they look like electron orbitals. . . . Sometimes its seems like the reason we see nature reuse the same patterns is not from any physical mechanism but simply because math only has so many "shapes." I am perpetually in awe at this mysterious order to our universe. Also: if these belts block high-energy electrons, can they teach us to build a force field that does the same? And can that solve th…
You may already know this, but in your observation about "math having only so many shapes" has been explored in some depth. There is a wikipedia page: http://en.wikipedia.org/wiki/Patterns_in_nature but I first learned about it from the book, "Patterns in Nature", by Peter S. Stevens ( http://www.amazon.com/Patterns-Nature-Peter-S-Stevens/dp/031... ), which was recommended to me by a noted poet.
[1] https://commons.wikimedia.org/wiki/Kunstformen_der_Natur