Five short radio broadcasts, which might interest you: BBC - Radio 4 - 5 Numbers - Index

There's this spiral-thingy-something ..that people usually makes a synomnym to a nautilus shell, which doesn't fit, just proving our "want's-to-shoe-horn-fit-everything"

yes, folks have tried to put it where it does not fit, and this is human nature. but it's PROVEN mathematical qualities are quite enough to make it interesting. Just look at it as a continued fraction.

Another thing, 1/phi = phi - 1, and phi is the only positive number this is true of. Phi is just one of those strange constants that are deeply a part of the structure of our quantified reality. The Fibonacci numbers tend toward phi in the distance between neighboring terms, and this Fib sequence is tied to Pascal's triangle, which is useful in all sorts of strange ways...especially probability. So it's not just smoke and mirrors. These numbers are potent.

Fibonacci number - Wikipedia, the free encyclopedia
Pascal's triangle - Wikipedia, the free encyclopedia