How to Draw a Fibonacci Spiral

Written by naomi judd
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How to Draw a Fibonacci Spiral
Fibonacci Spiral (Naomi Judd)

The Fibonacci spiral is a beautiful form found in nature, such as the spiral of a nautilus shell and the centre of sunflowers. A Fibonacci spiral follows a geometric pattern composed of the Fibonacci code. Squares following the dimensions of the Fibonacci code are used to construct such a spiral.

Skill level:
Moderately Easy

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Things you need

  • Paper
  • Pencil
  • Eraser
  • Ruler

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Instructions

  1. 1

    Draw a square that is 1 by 1 unit in measure and a square right next to it with the same dimensions. If using graph paper, quarter inch units work well. Draw a square that is 2 by 2 units below the first two squares. The Fibonacci sequence starts with 0 and 1 and each following number is the sum of the two previous ones. So the sequence goes, 1, 2, 3, 5, 8, 13, 21 and on. This is how we know how to make the squares the correct unit sizes.

    How to Draw a Fibonacci Spiral
  2. 2

    Draw a square that is 3 by 3 units to the right of all the previous squares.

    How to Draw a Fibonacci Spiral
  3. 3

    Draw a square that is 5 by 5 units above all the previous squares.

    How to Draw a Fibonacci Spiral
  4. 4

    Draw a square that is 8 by 8 units to the left of all the previous squares.

    How to Draw a Fibonacci Spiral
  5. 5

    Draw a square that is 13 by 13 units below all of the squares and then a 21 by 21 unit square to the right of all of those.

    How to Draw a Fibonacci Spiral
  6. 6

    Start with your pencil in the first square you drew which is now in the centre. Draw curving quarter circles through the corners of the squares starting with the centre going counter clockwise and work your way out to the biggest square. These quarter circles should work together to complete a spiral by arching through two diagonal corners of each square. See the drawing for an example. Trace the spiral with a dark pen or marker.

    How to Draw a Fibonacci Spiral

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