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=> Apollonian Gasket
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=> Box Fractal
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=> Cantor Square Fractal
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=> Douady's Rabbit Fractal
=> Dragon Curve
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=> Lévy Tapestry
=> Lindenmayer System
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=> Mandelbrot Set Lemniscate
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=> Mira Fractal
=> Newton's Method
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=> Peano-Gosper Curve
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=> Sierpiński Sieve
=> Star Fractal
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Ziyaretçi defteri
 

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).


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