Illustration of Vogel’s formula of the pattern of sunflower florets.
For n=1 to 500, using the polar coordinates equations:r = c√n and θ = n(137.5°)
Where 137.5° is 55/144 of a circular angle, and 55 & 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')