"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> kurtz le pirate <kur### [at] gmailcom> wrote:
> >
> >...
> > My problem is not the geometry but its coloring.
> >
> > My script generates a mesh (that I can save to use later). I get for
> > example this surface. it is a "3d" representation of the function
> > f(z) = (-z^3 + iz^2 + 1) / (z - 1 + i)^2
> >
> > Without going into details and according with "Domain coloring", the
> > color of each point of f(z) is defined by its argument which is an angle
> > ... and which corresponds to the hue.
>
> Hi Kurtz
>
> Assuming your z is a complex variable with a real and imaginary part,
> and that you plot the magnitude of your function as the height (along
> POV-Ray's y-axis) over a complex plane with the real part along POV-
> Ray's x-axis and the imaginary part along POV-Ray's z-axis then you
> can use the argument (0 to 2*pi) of your function to choose a color
> from a color map, like this:
>...

Btw.:
I recommend this video for those of you that are interested in such problems:

"The 5 ways to visualize complex functions | Essence of complex analysis #3"
https://www.youtube.com/watch?v=NtoIXhUgqSk

--
Tor Olav
http://subcube.com
https://github.com/t-o-k

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