A look at the arrangement of plant parts, cylindrical lattices, and how growth easily gives rise to Fibonacci numbers. These are often treated as the result of optimization, but it is unusual for plants to be so precise, especially when many kinds do about as well with very different patterns. So advantageous or not, the reason they are common must be because they are simply produced. That is what I hope to illustrate here.
I am considering whether or not adding voice would be helpful. This is the first such presentation I've made so any feedback would be helpful (here or via my webpage). Animation seemed like the best way to explain what is happening here, but I know it is not for everyone; if it is a problem for you, ask and I can say offer slides instead.