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Mandelbrot Fractal

Ciro Bermudez on 19 Oct 2021
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h = 1000; xo = -0.6; r = 1.2; k = 45;
x = linspace(xo-r, xo+r, h);
y = linspace(-r, r, h);
[X, Y] = meshgrid(x, y);
Z = X + 1i*Y;
q = k*ones(size(Z));
z = Z;
for n = 0:k
z = z.*z+Z; h = abs(z)>2;
z(h) = NaN; q(h) = n;
end
imagesc(q)
colormap([hot;1 1 1])
axis equal; axis off
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