Complex Domain Coloring Gallery

 

The following figures were created using fztopng. The code that was fed into fztopng is shown to the left of the corresponding image.


\log(\sin(z))

    define f_of_z (z)
    {
       return log(sin(z));
    }
    define set_options (prefs)
    {
       prefs.xgrid = [-PI:2*PI:#384];
       prefs.ygrid = [-1.5*PI:1.5*PI:#384];
       prefs.iter = 11;
    }
exmp1.png
z + \frac{z^2}{\sin(z^4-1)}

    define f_of_z (z)
    {
       z + z^2/sin(z^4-1);
    }
    define set_options (prefs)
    {
       prefs.xgrid = [-1.5:1.5:#384];
       prefs.ygrid = [-1.5:1.5:#384];
       prefs.iter = 3;
    }
exmp2.png
(1+i)\sin(z)

    define f_of_z (z)
    {
       (1+1i)*sin(z);
    }
    define set_options (prefs)
    {
       prefs.xgrid = [-1.5:1.5:#384];
       prefs.ygrid = [-1.5:1.5:#384];
       prefs.iter = 7;
       prefs.method = RGB_METHOD_GRADIENT;
    }
exmp3.png
(1+i)\log(\sin(\frac{z^3-1}{z}))

    define f_of_z (z)
    {
       (1+1i)*log(sin(z^3-1)/z);
    }
    define set_options (prefs)
    {
       prefs.xgrid = [-1.5:1.5:#384]*1.5;
       prefs.ygrid = [-1.5:1.5:#384]*1.5;
       prefs.iter = 0;
       prefs.hue=[-90,270];
    }
exmp4.png
\cos^{-1}\bigg[(1+i)\log \sin(\frac{z^3-1}{z})\bigg]

    define f_of_z (z)
    {
       acos ((1+1i)*log(sin(z^3-1)/z));
    }
    define set_options (prefs)
    {
       prefs.xgrid = [-1.5:1.5:#384]*2;
       prefs.ygrid = [-1.5:1.5:#384]*2;
       prefs.iter = 1;
       prefs.hue=[-180,180];
    }
exmp5.png


This page was last updated Sep 22, 2014 by John E. Davis. To comment on it or the material presented here, send email to jed at jedsoft org.
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