Home >> Science & Nature >> Numerology

How to Create a Fibonacci Spiral

One intuitive way to visualize the rate at which a series of numbers increases is to graph the sequence. The Fibonacci Series is a sequence of numbers where the two previous numbers in the series are summed to form the next value. The first value in the sequence is 1. The next number is also 1, since 0 + 1 = 1. The next number sums the previous two; so, 1 + 1 = 2 and so on.

Things You'll Need

Graph paper
Pencil

Instructions

- 1
  Draw a Cartesian coordinate system on the graph paper by choosing an origin point in the center of the graph, then drawing one vertical line and one horizontal line through the origin. The horizontal line is the x-axis and the vertical line is the y-axis. The origin point, in (x,y) coordinates, is at (0,0). Each line on the graph paper is assigned an arbitrary unit value of 1. Each additional value in the Fibonacci Sequence will be plotted on either the x-axis or the y-axis using Cartesian coordinates.
- 2
  Draw the first point in the Fibonacci sequence at (1,0). The values of the x-coordinate and the y-coordinate will alternate between a value in the Fibonacci sequence and zero, depending on the last coordinates to create a spiral.
- 3
  Draw the second point in the Fibonacci sequence at (0,1). This is because the x-coordinate has alternated back to 0, after having a Fibonacci value in the previous point, and the next value in the Fibonacci sequence is again 1.
- 4
  Place the third point at (2,0) because 2 is the next value in the sequence and the value has again, alternated between the x-axis and the y-axis. The fourth point has the coordinates (0,3).
- 5
  Connect the points with curved lines in the order in which they were drawn.
- 6
  Continue inserting points by summing the previous two values and alternating the x-axis and the y-axis with Fibonacci values and zeroes.
- 7
  Connect those points with smoothly graded curves.
- 8
  Repeat until the spiral is as large as you want it to be.

Numerology