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How to Construct a Fibonacci Spiral

The Fibonacci Spiral is geometrically beautiful, though the concept behind it is actually quite simple. It's growing spirals correlates with the Fibonacci series of numbers, which begins with one plus one and continues by adding the two numbers that come before each result (one plus one is two, two plus one is three, three plus two is five, etc.). So, to put it simply, the Fibonacci spiral is the Fibonacci sequence in action.

Things You'll Need

Pencil
Graph paper
Ruler

Instructions

- 1
  Trace a 1-by-1-block square around a graph paper square in the center of the paper using the ruler. Also trace the 1-by-1-block square next to that one.
- 2
  Traces a 2-by-2-block square that shares the bottom edge of the two smaller squares.
- 3
  Trace a 3-by-3-block square that shares the right edge of the 1-by-1-block square and 2-by-2-block square.
- 4
  Draw a 5-by-5-block square that shares the top edge with the two 1-by-1-block squares and the 3-by-3-block squares. Continue to draw adjacent squares in this way according to the Fibonacci sequence, moving in a counterclockwise direction.
- 5
  Draw a quarter circle in the largest box that starts from one corner and ends going toward the corner nearest to the next box. Draw a quarter circle that continues to the next box. Continue drawing quarter circles in each box to form a spiral that goes to the last 1-by-1-block box.

Nature