Mira Fractal

MiraFractal

A fractal based on iterating the map

F(x)=ax+(2(1-a)x^2)/(1+x^2)

(1)

according to

The plots above show 10^4 iterations of this map for various starting values (x_0,y_0) and parameters (a,b).

See also

Fractal

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References

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 136-138 and 194-195, 1991.

Referenced on Wolfram|Alpha

Mira Fractal

Cite this as:

Weisstein, Eric W. "Mira Fractal." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MiraFractal.html

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