Peculiar Manifestations of Mathematical Spirals Exist on All Scales of Size

Mathematics is the language of the universe. Regardless of how familiar one is with the formulas involved, it is easy to see manifestations of this principle in the mere fact of repeated patterns that can be found without nature on earth and throughout the many wonders of space. Perhaps the simplest evidence of this is in the manifestation of the logarithmic spiral found in the smallest of conch shells, and also the greatest of galaxies. Descartes originally noted the singularity of this pattern, as the spiral shape seen so often in nature required constantly increasing distances between the spirals and the center.

And these spirals do not even just pop up in dense items like shells, but also in hurricanes, whirlpools, nearly anything that spins. The shape of hurricanes has much to do with the movement of the earth and heat currents, but why would it produce the same shape as a shell made by a little sea creature on the bottom of the ocean floor? Nature has her mysteries, but often it is easiest to assume that most processes simply take the path of least resistance. On an atomic level it means that subatomic particles want to bond with other particles of opposite charges, and will do so if they have the opportunity without hindrances (excess movement for example). Then as you scale up, molecules seek to bond with other molecules if the conditions are right, and you get situations of cohesion, such as when water molecules seek to stick to other water molecules and “follow each other” (surface tension).

In the case of a whirlpool, molecules take the route of least resistance, with the effects of cohesion, gravity and inertia moving them around and around in a progressively greater spiral that naturally follows certain ratios in its formation based on the constants in the forces of gravity and inertia.