The shapes of natural things—trees and clouds, blades of grass and galaxies—seem countless. Closer observation shows that nature only presents a small number of fundamental shapes and that these basic shapes obey strict laws. This program explains a new science of natural forms that aims to understand the order of nature. We see that most natural phenomena, whether the movement of planets or the secretion of hormones, follow regular cycles. Attempts to describe the order of nature mathematically have led to a new geometry: fractal geometry. (23 minutes)