Mathematician Holly Krieger showing probably one of the most inefficient and yet most beautiful ways of calculating the value of π with the help of the Mandelbrot set.
@mina I love the idea, but it does not work out for me. :-(
Using a very simple Mandelbrot function I compute N(c)*epsilon for c = 0.25 + epsilon^2 and get
0.1 3
0.01 3.12
0.001 3.14
1e-04 3.1414
1e-05 3.14157
1e-06 3.141625
1e-07 3.143091
1e-08 3.020156
So up to 10^-5 things are getting better, but then this reverts. Or is there an overshoot and it comes back later?