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Fibonacci sequence

1, 1, 2, 3, 5, 8, 13, 21… each number is the sum of the previous two. Plot the squares and a spiral appears.

Fibonacci sequence

Each number is the sum of the previous two. The squares it draws spiral outward.

Steps8
1123581321

The link to the golden ratio

Divide a Fibonacci number by the one before it: 8/5 = 1.6, 13/8 ≈ 1.625, 21/13 ≈ 1.615… As you go further, the ratios sneak in on φ ≈ 1.618.

Spot it everywhere

Petals on a daisy, scales on a pineapple, family trees of bees — once you start looking, Fibonacci is everywhere.