🌀 Fibonacci Spiral & Golden Ratio Generator

Create printable wall art, puzzles, and math templates

What is the Fibonacci Spiral?

The Fibonacci spiral is a visual representation of the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...), where each number is the sum of the two preceding ones. By drawing quarter-circle arcs connecting the opposite corners of squares sized according to this sequence, we create a spiral that closely approximates the Golden Spiral (based on the Golden Ratio, φ ≈ 1.618).

How to Use This Generator

  • For Wall Art: Select "Spiral Only" and a high iteration count. Download the SVG and print it on a large poster or canvas.
  • For Math Puzzles: Select "Squares Only" and "Monochrome". Print, cut out the individual squares, and challenge students to assemble them into the correct spiral tiling.
  • For Designers: Use the "Golden Ratio" theme to get a precise vector template for logo design or photographic composition.

Frequently Asked Questions

Is the Fibonacci spiral exactly the same as the Golden Spiral?

Not exactly, but they are incredibly close. The Golden Spiral grows by a factor of φ for every 90-degree turn. The Fibonacci spiral uses integer ratios that converge to φ as the sequence progresses. For practical art and design, they are visually indistinguishable.

Why is the SVG format recommended for download?

SVG (Scalable Vector Graphics) ensures your spiral remains perfectly crisp at any size. Whether you print it on a business card or a 10-foot billboard, the lines will never pixelate.