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Mira Fractal


MiraFractal

A fractal based on iterating the map

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

according to

x_(n+1)=by_n+F(x_n)
(2)
x_(y+1)=-x_n+F(x_(n+1)).
(3)

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

Explore with Wolfram|Alpha

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 Web Resource. https://mathworld.wolfram.com/MiraFractal.html

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