POV-Ray : Newsgroups : povray.binaries.images : Isosurface from magnitude of complex function with domain coloring : Re: Isosurface from magnitude of complex function with domain coloring Server Time
28 Jan 2022 23:27:07 EST (-0500)
  Re: Isosurface from magnitude of complex function with domain coloring  
From: BayashiPascal
Date: 22 Dec 2021 19:35:00
Message: <web.61c3c40a6041c670c7449d78e0f8c582@news.povray.org>
"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> Hi
>
> Since this post:
>
> From: kurtz le pirate
> Subject: How to ...
> Date: 2021-11-22 11:23:08
> http://news.povray.org/povray.general/thread/%3C619bc3ec%241%40news.povray.org%3E/
>
> - I've been working on some some macros that create functions for calculating
> with complex numbers.
>
> And yesterday I made some functions that can be used for HSV-coloring of
> pigments.
>
> The isosurface in the attached image shows the magnitude (or modulus) of this
> function:
>
>   Fn(Z) = 1/(Z^5 - 2)^2
>
> - as the height above a complex plane:. I found that function here:
>
https://matlabarticlesworld.blogspot.com/2020/01/what-is-coolest-thing-you-can-do-with.html
>
> The colors are chosen so that the hue follows the phase (or argument) of the
> function, while the lightness goes from 0.0 to 0.5 in intervals along the height
> axis. The saturation is 100% everywhere.
>
> --
> Tor Olav
> http://subcube.com
> https://github.com/t-o-k


Very nice.

The "multi-layered" aspect of the result is intriguing me. Does it come from a
property of the function you've choosen, or from the way you choose to visualise
it ?

Pascal


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