The metaphysical debate that intrigues me is whether nature is chaotic or patterned. The palm leaves and flowers that I've posted on this blog suggests that not only is nature patterned but it's predictable.
I didn't have a ruler or protractor with me when I took this photo, but I'm guessing that both would show precisely repeated angles and spacings in these palm fronds. And, as you've noticed, I love the architecture of palms.