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

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

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

f: z → 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 it’s absolutely beautiful. I don’t understand it - but it’s beautiful 😁