The Fibonacci Sequence

Explore the mathematical beauty of nature's favorite number sequence. Watch as simple addition creates complex patterns.

Golden Spiral

About the Sequence

The Fibonacci sequence is one of nature's most elegant patterns. Each number is simply the sum of the two before itβ€”a beautiful dance of addition that creates surprisingly complex growth patterns found everywhere from seashells to galaxies.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

Found in Nature

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Sunflower Seeds

Spiral patterns in sunflower heads follow Fibonacci numbers, optimizing seed packing efficiency.

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Nautilus Shells

The chambers of nautilus shells grow in a golden spiral, perfectly matching the Fibonacci ratio.

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Galaxies

Spiral galaxies often display Fibonacci-like patterns in their arm structures across cosmic scales.

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Plant Growth

Leaves, petals, and branches often arrange themselves in Fibonacci sequences for optimal sunlight.

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