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 23:34:59 EST (-0500)
  Re: Isosurface from magnitude of complex function with domain coloring  
From: kurtz le pirate
Date: 26 Dec 2021 06:13:42
Message: <61c84e66$1@news.povray.org>
On 26/12/2021 03:00, Tor Olav Kristensen wrote:
>> ...
> 
>> Here, one sample of f(z) = (-z^3 + iz^2 + 1) / (z - 1 + i)^2.
> 
> ...
> 
> I'm a bit worried though, because my renderings of that function is quite
> different from mine.

Sorry, I put the wrong picture :(
here, it's the good one.

> What is your rendering showing ?
> The magnitude, the real part or the imaginary part ? - or something else ?

let z = a + ib
f(z) = c +i d

Represented in POV in this way :
a >> x axis
b >> z axis

arg(c + id) >> the color in HSL space with H = arg and L = logaritmic
function of module between 0 and 1.

module(c + id) >> y axis with a logarithmic scale



-- 
Kurtz le pirate
Compagnie de la Banquise


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