The fractal-like figure obtained by performing the same iteration as for the Mandelbrot set, but adding
a random component 
,
 |
In the above plot, 
,
where ![R_x,R_y in [-0.05,0.05]](/images/equations/RandelbrotSet/Inline3.svg)
.
Randelbrot Set
See also
Mandelbrot SetExplore with Wolfram|Alpha
References
Dickau, R. M. "Randelbrot Set." http://mathforum.org/advanced/robertd/randelbrot.html.Referenced on Wolfram|Alpha
Randelbrot SetCite this as:
Weisstein, Eric W. "Randelbrot Set." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RandelbrotSet.html