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File:SunflowerModel.svg

Summary

Description Illustration of Vogel's formula of the pattern of sunflower florets (see article) for n=1 to 500, using the polar coordinates equations r = c \sqrt{n} and \theta = n \times 137.5^{\circ} (where 137.5° is 55/144 of a circular angle, and 55 and 144 are both Fibonacci numbers -- the exact angle should technically be 360/(((sqrt(5)+1)/2)+1), or 137.507764...). Can be produced using the following MATLAB code: 
n=1:500;
r=sqrt(n);
t=137.5*pi/180*n;
plot(r.*cos(t),r.*sin(t),'o')
Date 12 September 2007
Source Own work
Author Doron

Licensing

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