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The family of curves y^2 = (x+1)(x^2+c) for c=-0.5,...,0.5

The Mandelbrot Fractal: For complex c, the recursion

z[n+1] = z[n]^2 + c;

f(z) = exp(-Mod(z)) is plotted for n=1,2,...,20, with z[0] = 0+0i.

The Swendsen-Wang algorithm (right) mixes faster than the Gibbs sampler (left) for sampling the Ising model (attraction parameter 0.9)

Diffusion Limited Aggregation (first 12000 of 50000 particles on a 400 x 400 grid within radius 200) 

 

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