This python code generates output in SVG: fibonacci.py.
Same code converted to Python 3.
It needs the svgwrite module, and optionally the pyDelaunay2D package (for Voronoi Regions).
The position of each point \(n\) is given by the formula \(\theta ={\frac {2\pi }{\phi ^{2}}}n,\ r=c{\sqrt {n}}\) where \(c\) controls the spacing between points.
\(\phi\) is the Golden Ratio, or \(1+\sqrt{5} \over 2\), the most irrational of all numbers.
A 'standard' spiral: constant size dots with constant spacing:
Colored alternately red, green, blue:
Each point on the spiral is at the center of a Voronoi region. This more closely resembles the packing of seeds in a sunflower.
The next two color the regions in sequence, alternating through
the colors of the rainbow. Each color is used n times, where
the n follows the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34...
