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

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