Il 19/01/2022 17:22, Tor Olav Kristensen ha scritto:
 > "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
 > Here's an image where the domain colors for the function above are 
shown on a
 > plane. Here the lightness value for the colors are ramped up in 
intervals both
 > for the phase angle and the natural logarithm of the magnitude.
 >
 > There are more images here for those that are interested:
 > https://github.com/t-o-k/POV-Ray-complex-functions
 >
 > --
 > Tor Olav
 > http://subcube.com
 > https://github.com/t-o-k


This image is just beautiful!

Paolo

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Paolo Gibellini <p.g### [at] gmailcom> wrote:
> Il 19/01/2022 17:22, Tor Olav Kristensen ha scritto:
>  > "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
>  >...
>
> This image is just beautiful!

Thank you very much Paolo!

I was a bit worried that it might be only me that liked it.

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

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Op 22/01/2022 om 04:25 schreef Tor Olav Kristensen:
> Paolo Gibellini <p.g### [at] gmailcom> wrote:
>> Il 19/01/2022 17:22, Tor Olav Kristensen ha scritto:
>>   > "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
>>   >...
>>
>> This image is just beautiful!
> 
> Thank you very much Paolo!
> 
> I was a bit worried that it might be only me that liked it.
> 
<grin> no.

-- 
Thomas

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"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
>
> Here's an image where the domain colors for the function above are shown on a
> plane. Here the lightness value for the colors are ramped up in intervals both
> for the phase angle and the natural logarithm of the magnitude.

This image reminds me of turbofan jet engine fan blades.

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On 22/01/2022 04:25, Tor Olav Kristensen wrote:
> Paolo Gibellini <p.g### [at] gmailcom> wrote:
>> Il 19/01/2022 17:22, Tor Olav Kristensen ha scritto:
>>  > "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
>>  >...
>>
>> This image is just beautiful!
> 
> Thank you very much Paolo!
> 
> I was a bit worried that it might be only me that liked it.

No, no... me too of course;)
Very good job.

I don't have too much time right now, but I'm continuing my research.



-- 
Kurtz le pirate
Compagnie de la Banquise

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Attachments:
Download 'complex_frameworke_fn009.jpg' (100 KB)

Preview of image 'complex_frameworke_fn009.jpg'

Thomas de Groot <tho### [at] degrootorg> wrote:
> Op 22/01/2022 om 04:25 schreef Tor Olav Kristensen:
> > Paolo Gibellini <p.g### [at] gmailcom> wrote:
> >> Il 19/01/2022 17:22, Tor Olav Kristensen ha scritto:
> >>   > "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> >>   >...
> >>
> >> This image is just beautiful!
> >
> > Thank you very much Paolo!
> >
> > I was a bit worried that it might be only me that liked it.
> >
> <grin> no.

Good   =))

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

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kurtz le pirate <kur### [at] gmailcom> wrote:
> On 22/01/2022 04:25, Tor Olav Kristensen wrote:
> > Paolo Gibellini <p.g### [at] gmailcom> wrote:
> >> Il 19/01/2022 17:22, Tor Olav Kristensen ha scritto:
> >>  > "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> >>  >...
> >>
> >> This image is just beautiful!
> >
> > Thank you very much Paolo!
> >
> > I was a bit worried that it might be only me that liked it.
>
> No, no... me too of course;)
> Very good job.

Thank you Kurtz. I'm glad to hear that !


> I don't have too much time right now, but I'm continuing my research.

That's yet another function with nice domain colors. It seems that you have a
talent for finding such functions.

Are your functions related for some physics related project that you are working
on ?

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

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"Cousin Ricky" <rickysttATyahooDOTcom> wrote:
> "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> >
> > Here's an image where the domain colors for the function above are shown on a
> > plane. Here the lightness value for the colors are ramped up in intervals both
> > for the phase angle and the natural logarithm of the magnitude.
>
> This image reminds me of turbofan jet engine fan blades.

When you mention it; yes I agree.

And that would be a nice and colorful engine  ;-)

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

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On 24/01/2022 01:14, Tor Olav Kristensen wrote:

> That's yet another function with nice domain colors. It seems that you have a
> talent for finding such functions.

May be, may be ... but i don't do it deliberately ;)

Here a new field of investigation z = f(f(z)).
with f(z) = cos(z) / sin(z^4-1)
Found on <https://www.jedsoft.org/fun/complex/index.html>




> Are your functions related for some physics related project that you are working
> on ?

Not at all. It's just for fun and the beauty of mathematics.




-- 
Kurtz le pirate
Compagnie de la Banquise

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Attachments:
Download 'f(f(z)).jpg' (422 KB)

Preview of image 'f(f(z)).jpg'

kurtz le pirate <kur### [at] gmailcom> wrote:
> On 24/01/2022 01:14, Tor Olav Kristensen wrote:
>
> > That's yet another function with nice domain colors. It seems that you have a
> > talent for finding such functions.
>
> May be, may be ... but i don't do it deliberately ;)

;)


> Here a new field of investigation z = f(f(z)).
> with f(z) = cos(z) / sin(z^4-1)
> Found on <https://www.jedsoft.org/fun/complex/index.html>

That's a nice image. With your coloring it looks better than the one John has on
that page.


> > Are your functions related for some physics related project that you are working
> > on ?
>
> Not at all. It's just for fun and the beauty of mathematics.

I see. At the moment it's the same for me.

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

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