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Are These 10 Natural Occurrences Examples of the Fibonacci Sequence?

From pine cones to spiral galaxies, fascinating patterns of the Fibonacci sequence occur naturally in nature. Find out how this ancient sequence manifests in our world and beyond.

ByKatie Liu
(Credit: Kate Babiy/Shutterstock)

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Nature is disordered, messy, chaotic. But upon closer look, you might start noticing patterns, sequences, and symmetry on all sorts of varying scales, from the grandest spiral galaxies to the tiniest snail shell.

One popular pattern spotted in many places is the Fibonacci sequence. You’ve likely encountered it before, perhaps as a spiral graphic often superimposed over images of human ears, hurricanes, or nautilus shells. How many of them are actually examples of the Fibonacci sequence arising in nature?

Simply put, the Fibonacci sequence describes a series of numbers, wherein each successive value is the sum of the two before it. It goes something like 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

It sprang from the mind of the 13th century Italian mathematician Leonardo Pisano, or Fibonacci. The sequence itself is derived from a math problem: If you put a pair of newly born rabbits ...

  • Katie Liu

    Katie Liu is a science journalist covering a variety of topics for Discover, ranging from space to human health to archaeology, among others. Her interest in science writing began during her time at Northwestern University, from where she graduated in 2024.

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