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As so often with anything related to maths, pi pops out at the most unexpected places.
And the best part in this is that it all aligns with the Mandelbrot set, for some reason
Edit: Nevermind, it's the bifurcation diagram of the Mandelbrot set that does this.
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It doesn't, the one that aligns is the bifurcation diagram of the function used to make the set (f(z)=z^2+c), which is different from the rabbit one (the logistic map, f(x)=rx(1-x)).