(page 8)


The beginning portions of the Fibonacci spiral are erratic, meaning that the Fibonacci attempts to approximate the phi ratio (1.61803…), and the Fibonacci swings widely in the early stages (the first three divisions) and hones in closer on the phi ratio as it continues onward. It is very important to understand this characteristic of the Fibonacci.

The Fibonacci Spiral aligned on a polar graph looks like the illustration below.

Fibonacci Spiral

0-Degree 1.0 100-Degree 1.8 200-Degree 3.2 300-Degree 5.6

10-Degree 1.1 110-Degree 1.9 210-Degree 3.4 310-Degree 6.0

20-Degree 1.1 120-Degree 2.0 220-Degree 3.6 320-Degree 6.3

30-Degree 1.2 130-Degree 2.1 230-Degree 3.8 330-Degree 6.7

40-Degree 1.3 140-Degree 2.2 240-Degree 4.0 340-Degree 7.1

50-Degree 1.3 150-Degree 2.4 250-Degree 4.2 350-Degree 7.5

60-Degree 1.4 160-Degree 2.5 260-Degree 4.5 360-Degree 8.0

70-Degree 1.5 170-Degree 2.7 270-Degree 4.7

80-Degree 1.6 180-Degree 2.8 280-Degree 5.0

90-Degree 1.7 190-Degree 3.0 290-Degree 5.3

 

Following the above template you will find that the Fibonacci Spiral aligns on the polar graph at the following points.

1) at the –0- degree radial and the first (1.0) circle out from the center.

2) at the 120 degree radial and the second (2.0)circle out from the center.

3) at the 190 degree point and the third (3.0) circle out from the center.

4) at the 280 degree point and the fifth (5.0) circle out from the center.

5) at the 360 degree point and the eighth (8.0) circle out from the center.




©1999, 2000, 2001 by Flower of Life Research LLC All Rights Reserved

Next Page Previous Page Return to Articles