math

Fibonacci Sequence

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The Fibonacci sequence is simple: start with 0, 1, and each subsequent number is the sum of the previous two.

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

Where It Appears

  • Spiral patterns in sunflowers and pinecones
  • Branching in trees
  • Shell spirals (nautilus)
  • The golden ratio $\phi \approx 1.618$ emerges from ratios of consecutive terms

It is not a universal law of nature, but it appears often enough to be genuinely fascinating.