Tricorn (mathematics)

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The tricorn, as seen in the fractal zooming program XaoS.
The tricorn, as seen in the fractal zooming program XaoS.

In mathematics, the tricorn, sometimes called the Mandelbar set, is a fractal defined in a similar way to the Mandelbrot set, but using the mapping z \mapsto \bar{z}^2 + c instead of z \mapsto z^2 + c used for the Mandelbrot set.[1]

The characteristic shape created by this fractal repeats with variations at different scales, in a similar way to the more usual Mandelbrot set.


[edit] References

  1. ^ {Eric W. Weisstein, Mandelbar Set at MathWorld.
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