Fibonacci Spiral - Golden Ratio Visualization | 8gwifi.org

🌀 Fibonacci Spiral 🌀

Visualize the golden ratio through beautiful mathematical art

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🧠 The Fibonacci Spiral Explained

The Fibonacci Spiral is created by drawing quarter circles connecting opposite corners of squares in a Fibonacci tiling.

Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

How it works:

  • Start with two squares of size 1×1
  • Add squares whose side lengths follow the Fibonacci sequence
  • Arrange them in a spiral pattern
  • Draw quarter circles connecting the corners

The Golden Ratio (φ):

  • As Fibonacci numbers grow, the ratio of consecutive numbers approaches φ ≈ 1.618
  • This is the golden ratio, found throughout nature and art
  • The spiral appears in shells, flowers, galaxies, and many natural patterns