The sunflower spiral1 is given by the function S : N → R2, written in polar coordinates as
S(n) = (r(n),θ(n)) = (√n,2πϕn), where ϕ =(√5−1)/ 2 = Φ−1, and Φ =(√5+1)/2 is the golden ratio. Then everything is turned into cartesian coordinates using simple expressions to get the X and Y component of the vectors.

The math info is here: ms.unimelb.edu.au/~segerman/papers/sunflower_spiral_fibonacci_metric.pdf

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