Mandelbrot Set
a
b
xn+1 = xn2 - yn2 + a
yn+1 = 2xnyn + b
zn+1 = zn2 + c
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Notes:
"The most complicated mathematical object ever seen"
Only the bounded orbits are shown
Boundary is fractal with dimension 2
All periods are represented somewhere
Chaotic orbits are very rare (probability zero?)