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 Time28 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>
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"headline": "Re: Isosurface from magnitude of complex function with domain coloring",
"dateCreated": "2021-12-26T11:13:42+00:00",
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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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