The Golden Ratio Nautilus

The Nautilus shell is typically associated with the golden ratio. There is considerable uncertainty, misinformation, and dispute over whether the golden ratio nautilus is real or a myth! Some claim yes, but present no proof at all. Some present examples of spirals but wrongly presume that every equiangular spiral in nature is a golden spiral.

Several university math instructors say no; however, they simply compared the nautilus spiral to the spiral generated from a golden rectangle. Another university professor claims no but simply measured the height and width of the entire shell. Let’s look at this objectively and answer this enigma and argument. After the video, you should also check Rafael Araujo’s Mesmerizing Geometrical Drawings Using Golden Ratio.

Ali Kaya


Ali Kaya

This is Ali. Bespectacled and mustachioed father, math blogger, and soccer player. I also do consult for global math and science startups.

Similar Videos

Forest Therapy | Video | Abakcus

Forest Therapy

In early January 2021, Dimitar Karanikolov captured this serene top-down drone shot from the Mexican jungle that has gained worldwide attention for its calming beauty. And he called his work…
Four Minutes With Terence Tao | Video | Abakcus

Four Minutes With Terence Tao

Terence Tao is a gifted mathematician and recipient of prestigious awards such as the 2006 Fields Medal and the 2014 Breakthrough Prize in Mathematics. Terence was recently interviewed by Simons…