Why is the plot of the Mandelbrot set shaped the way it is? How can a simple formula create such a complex (pun intended) structure?

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Anonymous Mon Apr 13 12:36:29 2020 No.11561117 [Reply] [Original]

Why is the plot of the Mandelbrot set shaped the way it is? How can a simple formula create such a complex (pun intended) structure?

>>	Anonymous Mon Apr 13 12:37:06 2020 No.11561120 >>11561117 >Why

Anonymous Mon Apr 13 12:40:50 2020 No.11561130

>such a complex (pun intended) structure
Complex in what sense? In the sense of Kolmogorov, the shape is very simple.
>a simple formula
It occurs all the time that a seemingly simple to write down formula offers an extremely rich structure
For example,
x^n + y^n = z^n
(Fermat's last theorem)
y^2 = x^3 + ax + b
(extremely rich and still developing area of elliptic curves)
d^2 = 0
(foundation of all algebraic topology and homological algebra)

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