SunflowerModel

SunflowerModel

Illustration of Vogel's formula of the pattern of sunflower florets (see article) for n from 1 to 500, using the polar coordinates equations r = c n {\displaystyle r=c{\sqrt {n}}} and θ = n × 2 π ϕ + 1 {\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; plot(r.*cos(t),-r.*sin(t),'o')

#["sunflowermodel"]

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UploadedMay 6, 2026

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