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Just a reminder all of this is sitting in this one little equation: \({Z}^{2}+C\)

ยท ยท 3 ยท 4 ยท 6

@freemo \ x_{n+1} = r x_n(1 - x_n) \ is a simple enough population model. Lets try simulating it! Oh no...

@mandlebro @freemo

Did you know you can extend the bifurcation diagram for the logistic map

f: z โ†’ az(1-z)

beyond a=4 by solving

f^n(z) = z

for various n. The full picture is that for a>4 you get a repelling Cantor set!

@mandlebro @freemo itโ€™s absolutely beautiful. I donโ€™t understand it - but itโ€™s beautiful ๐Ÿ˜

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