Illustration of Vogel's formula of the pattern of sunflower florets (see article) for n from 1 to 500, using the polar coordinates equations ${\displaystyle r=c{\sqrt {n}}}$ and ${\displaystyle \theta =n\times {\frac {2\pi }{\phi +1}}}$. Can be produced using the following MATLAB code:

n=1:500;
r=sqrt(n);
t=2*pi/((sqrt(5)+1)/2+1)*n;