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Randelbrot Set


RandelbrotSet

The fractal-like figure obtained by performing the same iteration as for the Mandelbrot set, but adding a random component R,

 z_(n+1)=z_n^2+c+R.

In the above plot, R=R_x+iR_y, where R_x,R_y in [-0.05,0.05].


See also

Mandelbrot Set

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References

Dickau, R. M. "Randelbrot Set." http://mathforum.org/advanced/robertd/randelbrot.html.

Referenced on Wolfram|Alpha

Randelbrot Set

Cite this as:

Weisstein, Eric W. "Randelbrot Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RandelbrotSet.html

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