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The model: Z(n+1) = Z(N)*Z(n)+Zc; Z=X+iY
Zc= Xc +iYc (for Juliaing Set);
Zc=X(0)+iY(0) (for Mandelbrot Set)
Z(0)=X(0)+iY(0)=(X0+c*Xf*IX)
+ i(Y0+c*Xf*IY); (IX,IY) are the index of pixel.
Xf : The magnification factor (Zoom in with bigger Xf)
If you want the source code, please email me at yhu@adm.larc.nasa.gov