After experimenting a bit with the expressions in the article that Bald Eagle
linked to in his recent "Bad values crash POV-Ray" post and pigments controlled
by functions, I arrived at this image.

As I was not satisfied with my original color scheme, I rotated the hue 180
degrees in Gimp.

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

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Attachments:
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Preview of image 'journey_outside_the_poor_mans_hyperbolic_mapping.jpg'

"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> After experimenting a bit with the expressions in the article that Bald Eagle
> linked to in his recent "Bad values crash POV-Ray" post and pigments controlled
> by functions, I arrived at this image.
>
> As I was not satisfied with my original color scheme, I rotated the hue 180
> degrees in Gimp.


Very nice.
I had a sort of premonition that this would be on your radar.  ;)

[I've been tied up with IRL stuff, but I will try to remember to post my
original scene that crashed.  I'm leaning towards the issue being triggered by
the index values not playing well with the image_map pigment that I was
remapping.]

If you enjoyed that, you'll really like:

https://dash.lib.harvard.edu/bitstream/handle/1/3720034/Mumford_2DAnalConformal.pdf

(Also from same authors:)
https://www.cis.upenn.edu/~cis6100/sharon-mumford.pdf

I think it's a VERY cool idea, and something that could provide loads of fun -
especially when animating the progressive mapping of shapes between one another.

- BW

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On 16/10/2024 20:58, Bald Eagle wrote:
> "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
>> After experimenting a bit with the expressions in the article that Bald Eagle
>> linked to in his recent "Bad values crash POV-Ray" post and pigments controlled
>> by functions, I arrived at this image.
>>
>> As I was not satisfied with my original color scheme, I rotated the hue 180
>> degrees in Gimp.
> 
> 
> Very nice.
> I had a sort of premonition that this would be on your radar.  ;)
> 
> [I've been tied up with IRL stuff, but I will try to remember to post my
> original scene that crashed.  I'm leaning towards the issue being triggered by
> the index values not playing well with the image_map pigment that I was
> remapping.]
> 
> If you enjoyed that, you'll really like:
> 
> https://dash.lib.harvard.edu/bitstream/handle/1/3720034/Mumford_2DAnalConformal.pdf
> 
> (Also from same authors:)
> https://www.cis.upenn.edu/~cis6100/sharon-mumford.pdf
> 
> I think it's a VERY cool idea, and something that could provide loads of fun -
> especially when animating the progressive mapping of shapes between one another.
> 
> - BW
> 


For conformal mapping, there's also this book :
<https://vdoc.pub/download/handbook-of-conformal-mappings-and-applications-6hrak8425a20>




-- 
Kurtz le pirate
Compagnie de la banquise

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kurtz le pirate <kur### [at] gmailcom> wrote:

> For conformal mapping, there's also this book :
>
<https://vdoc.pub/download/handbook-of-conformal-mappings-and-applications-6hrak8425a20>

and also this website:

https://squircular.blogspot.com/

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"Bald Eagle" <cre### [at] netscapenet> wrote:
> "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> > After experimenting a bit with the expressions in the article that Bald Eagle
> > linked to in his recent "Bad values crash POV-Ray" post and pigments controlled
> > by functions, I arrived at this image.
> >
> > As I was not satisfied with my original color scheme, I rotated the hue 180
> > degrees in Gimp.
>
>
> Very nice.

Thank you Bill


> I had a sort of premonition that this would be on your radar.  ;)

;)


> [I've been tied up with IRL stuff, but I will try to remember to post my
> original scene that crashed.  I'm leaning towards the issue being triggered by
> the index values not playing well with the image_map pigment that I was
> remapping.]

I'll comment on that scene in a little while.


> If you enjoyed that, you'll really like:
>
> https://dash.lib.harvard.edu/bitstream/handle/1/3720034/Mumford_2DAnalConformal.pdf
>
> (Also from same authors:)
> https://www.cis.upenn.edu/~cis6100/sharon-mumford.pdf
>
> I think it's a VERY cool idea, and something that could provide loads of fun -
> especially when animating the progressive mapping of shapes between one another.

Yes, I agree - those articles and the idea is very interesting. But it would
take quite a long time for me to absorb the math in there. I wish I had more
time...

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

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