MATHEMATICS IN THE MODERN WORLD PORTFOLIO SUBMITED BY: Everyone has a fond memory of going to the beach as a child. One of the most memorable things I did was collect sea shells because of how pretty they were. Now that we study mathematics in nature, we can appreciate how precise and meticulous these complex structures are with these creatures of the sea. In this first example we have the shark eye snail. This is a gastropod mollusk, meaning it has one opening in a spiral shaped shell. It is also part of the moon snail family. In mathematics we can clearly see the Fibonacci Spiral or also known as the Golden Spiral. When someone ask you to imagine a seashell what comes up in your mind? Is this the kind of seashell that pops in your mind? This is a scallop shell. scallop shell is bilateral in symmetry, but the subtriangular, wing-like auricles along the hinge line will still display asymmetry. If you cut this example scallop shell in its midline you will have the mirror half of it, meaning this seashell is a bilateral symmetry in nature, particularly in the ocean. This is a cone shell in its overhead view, a cone shell is typically straight-sided, with a tapering body whorl, low spire, and narrow aperture. This is an example of a spiral symmetry, a curved pattern that focuses on a center point and a series of circular shapes that revolve around it. Spirals are common in plants and in some animals, notably mollusks.