Being inspired by Bill's investigations, I was looking for patterns 
generation algorithms and found this sophisticated approach, implemented 
in Rhino:
https://parametric-architecture.com/10-grasshopper-plugins-trending-in-the-aec-industry/

I guess that Grasshopper's elements and their combinations can be a 
great source of ideas for implementation on SDL.
--
YB

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yesbird <sya### [at] gmailcom> wrote:
> Being inspired by Bill's investigations, I was looking for patterns
> generation algorithms and found this sophisticated approach, implemented
> in Rhino:
>
https://parametric-architecture.com/10-grasshopper-plugins-trending-in-the-aec-industry/
>
> I guess that Grasshopper's elements and their combinations can be a
> great source of ideas for implementation on SDL.
> --
> YB

[Some of that reminds me of an old post about Rheotomic Surfaces.]

It's always good to look outside of what we (think we) have, and the methods by
which people have traditionally done projects with POV-Ray.

As always, Shadertoy is an endless, mind-blowing array of stunning inventiveness
and creativity.
I find a lot of really cool things on Desmos.
Stack Exchange, Stack Overflow, Wolfram Mathematica, and just doing keyword or
image searches on basic keywords.

I like the (usually) repeating patterns that are based on mathematical
equations, because I find them compact and elegant.

However, those are usually limited to 2D pigment patterns, or somewhat slower
isosurfaces - and require a bit of mathematical intuition.

My suggestion for a 3D object repeat warp was aimed at a way for people to
create a "unit cell" by whatever methods were most familiar and easily
constructed by them, and then repeated with a minimum of extra memory or
computational overhead.


But going back to sources of inspiration - we can find those everywhere.
Sometimes I find things on YouTube, woodworking forums, science papers,
historical investigations, architecture, astronomy, meterology, scribbles on
paper, reflections, and even simple children's toys.

And recently there is access to AI.

Finding the time to explore and actually implement it all ....  ;)

- BW

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On 28/08/2024 19:23, Bald Eagle wrote:
> But going back to sources of inspiration - we can find those everywhere.

May be you fill find interesting this issue of
"ARCHITECTURAL DESIGN MARCH/APRIL 2011 PROFILE NO 210 -
PROTOCELL ARCHTECTURE":

https://drive.google.com/file/d/1F1xLtuuADhyrW3r-MsdOcHLV9ehi6AGc/view?usp=sharing
--
YB

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On 28/08/2024 19:23, Bald Eagle wrote:
> But going back to sources of inspiration - we can find those everywhere.

Maybe you will find interesting this issue of
"ARCHITECTURAL DESIGN MARCH/APRIL 2011 PROFILE NO 210 -
PROTOCELL ARCHTECTURE":

https://drive.google.com/file/d/1F1xLtuuADhyrW3r-MsdOcHLV9ehi6AGc/view?usp=sharing
-- 
YB

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On 29/08/2024 16:53, yesbird wrote:
> Maybe you will find interesting this issue of
> "ARCHITECTURAL DESIGN MARCH/APRIL 2011 PROFILE NO 210 -
> PROTOCELL ARCHTECTURE"

or this one:
https://drive.google.com/file/d/1aM2z3pI_VVuSELQIyJUo13mp7sV_LKAd/view?usp=sharing
--
YB

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yesbird <sya### [at] gmailcom> wrote:
> On 29/08/2024 16:53, yesbird wrote:
> > Maybe you will find interesting this issue of
> > "ARCHITECTURAL DESIGN MARCH/APRIL 2011 PROFILE NO 210 -
> > PROTOCELL ARCHTECTURE"

Very nice  :)
On my old Surface RT, I used to have an app called "Inspiration Browser" that
compiled an assortment of links to art, architecture, and design websites.
Great stuff.

I needed to close out some tabs on my browser, so I'm placing these here for
reference.

https://www.gorillasun.de/blog/a-simple-solution-for-shape-packing-in-2d/

https://math.stackexchange.com/questions/607436/what-do-polynomials-look-like-in-the-complex-plane

https://www.nature.com/articles/s41467-023-41775-9

https://www.dynamicmath.xyz/domain-coloring/

https://www.flickr.com/photos/quasimondo/albums/72157624374940604/with/14418573512

https://www.youworkforthem.com/graphic/E1843/trigonometric-functions


- BE

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On 29/08/2024 22:36, Bald Eagle wrote:
> On my old Surface RT, I used to have an app called "Inspiration Browser" that
> compiled an assortment of links to art, architecture, and design websites.
> Great stuff.

Latest version of Google Chrome is my "Inspiration Browser" ).

> I needed to close out some tabs on my browser, so I'm placing these here for
> reference.
>> ...

Thanks a lot ! There are many interesting things there and
>> https://www.dynamicmath.xyz/domain-coloring/
is the most attractive to me.

I'm also like this site:
https://virtualmathmuseum.org/

Now thinking about extending and adding surfaces parameterization to
Povlab gallery (http://gallery.povlab.online)
--
YB

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yesbird <sya### [at] gmailcom> wrote:

> Thanks a lot ! There are many interesting things there and
> >> https://www.dynamicmath.xyz/domain-coloring/
> is the most attractive to me.

Then you will of course like:
https://github.com/t-o-k/POV-Ray-complex-functions


> I'm also like this site:
> https://virtualmathmuseum.org/

Nice - I will have to check that out when I get some free time.

- BW

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Specifically referencing Rhino / Grasshopper:
https://archive.bridgesmathart.org/2020/bridges2020-183.pdf

and really illustrating how a 3D repeat warp would be useful for the
non-mathematically inclined. (in "2D")

The following is a fully 3D example of what I'm envisioning:
https://archive.bridgesmathart.org/2011/bridges2011-73.pdf

https://www.google.com/search?q=John+Edmark+%E2%80%9CBlooms%E2%80%9D&oq=John+Edmark+%E2%80%9CBlooms%E2%80%9D&gs_lcrp=Eg
ZjaHJvbWUyBggAEEUYOTIGCAEQABgeMg0IAhAAGIYDGIAEGIoFMg0IAxAAGIsDGKIEGIkFMg0IBBAAGIsDGKIEGIkF0gEIODMxMWoxajGoAgCwAgA&sourc
eid=chrome&ie=UTF-8

And here's a giant archive that is guaranteed to "knock your socks off" and
provide _years_ of inspiration to our busy little bees here in the POV-Ray hive.

https://archive.bridgesmathart.org/#gsc.tab=0


- BE

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On 30/08/2024 17:55, Bald Eagle wrote:

> Then you will of course like:
> https://github.com/t-o-k/POV-Ray-complex-functions
Thanks, very interesting, I've seen it before, maybe will include this
mechanics into Povlab gallery as parametrized function.

> 
> Specifically referencing Rhino / Grasshopper:
> https://archive.bridgesmathart.org/2020/bridges2020-183.pdf
> 
> and really illustrating how a 3D repeat warp would be useful for the
> non-mathematically inclined. (in "2D")
> 
> The following is a fully 3D example of what I'm envisioning:
> https://archive.bridgesmathart.org/2011/bridges2011-73.pdf

I like this patterns and how easy they can be produced, guess
using more sophisticated based elements can make them more attractive.
The art of ornament is enchants me too ).

> 
>
https://www.google.com/search?q=John+Edmark+%E2%80%9CBlooms%E2%80%9D&oq=John+Edmark+%E2%80%9CBlooms%E2%80%9D&gs_lcrp=Eg
>
ZjaHJvbWUyBggAEEUYOTIGCAEQABgeMg0IAhAAGIYDGIAEGIoFMg0IAxAAGIsDGKIEGIkFMg0IBBAAGIsDGKIEGIkF0gEIODMxMWoxajGoAgCwAgA&sourc
> eid=chrome&ie=UTF-8
> 
Uh, fantastic idea !
Looks like it's time to turn on my 3D printer ...

> And here's a giant archive that is guaranteed to "knock your socks off" and
> provide _years_ of inspiration to our busy little bees here in the POV-Ray hive.
> 
> https://archive.bridgesmathart.org/#gsc.tab=0

Oooo, Bill !
You are reading my thoughts ...
Many, many thanks for this link - this is exactly what I was looking
for. Now I have a lot of ideas how to fill in Povlab gallery - future
winter will not be boring !
--
YB

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