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12 Oct 2024 08:44:01 EDT (-0400)
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From: Bald Eagle
Subject: Line Polygons
Date: 27 Aug 2024 21:30:00
Message: <web.66ce7cee5e016fbf1f9dae3025979125@news.povray.org>
These are beautiful, and have a lot of different variations.

Enjoy!


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From: yesbird
Subject: Re: Line Polygons
Date: 28 Aug 2024 03:58:55
Message: <66ced8bf$1@news.povray.org>
On 28/08/2024 04:27, Bald Eagle wrote:
> 
> These are beautiful, and have a lot of different variations.
> 
> Enjoy!

Oh, what a beauty ! Reminds me Escher works ...
How did you produced them ?
--
YB


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From: Bald Eagle
Subject: Re: Line Polygons
Date: 28 Aug 2024 06:45:00
Message: <web.66ceffa0236540401f9dae3025979125@news.povray.org>
yesbird <sya### [at] gmailcom> wrote:

> Oh, what a beauty ! Reminds me Escher works ...
> How did you produced them ?


https://halirutan.de/programming/line-patterns/

https://mathematica.stackexchange.com/questions/110848/is-it-possible-to-draw-this-figure-using-mathematica/111642#1116
42

https://mathematica.stackexchange.com/questions/177209/drawing-the-pursuit-curves

Looks like it's very similar to the way De Casteljau's algorithm works for
drawing Bezier splines.  You just interpolate along the edges - but each new
inner edge replaces the outer one.

I use VertexArray [mod (Index, Sides)] to cycle through my array and stay "in
bounds".

- BW


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From: yesbird
Subject: Re: Line Polygons
Date: 28 Aug 2024 06:56:51
Message: <66cf0273@news.povray.org>
On 28/08/2024 13:44, Bald Eagle wrote:
> Looks like it's very similar to the way De Casteljau's algorithm works for
> drawing Bezier splines.  You just interpolate along the edges - but each new
> inner edge replaces the outer one.
>

Thanks, it's simple and beauty altogether, also can generate patterns
for StringArt. I will include few into Povlab.
--
YB


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From: yesbird
Subject: Re: Line Polygons
Date: 28 Aug 2024 07:05:09
Message: <66cf0465$1@news.povray.org>
On 28/08/2024 13:44, Bald Eagle wrote:
> Looks like it's very similar to the way De Casteljau's algorithm works for
> drawing Bezier splines.  You just interpolate along the edges - but each new
> inner edge replaces the outer one.

Thanks, it's simple and beautiful altogether, also can generate patterns
for StringArt. I will include few into Povlab.
-- 
YB


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From: Bald Eagle
Subject: Re: Line Polygons
Date: 28 Aug 2024 08:15:00
Message: <web.66cf144023654040d5cc4ae625979125@news.povray.org>
yesbird <sya### [at] gmailcom> wrote:

> Thanks, it's simple and beauty altogether, also can generate patterns
> for StringArt. I will include few into Povlab.

Nice.
A really nice effect is achieved when you reverse the direction of every other
triangle/polygon - I have yet to implement that feature.


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From: Bald Eagle
Subject: Re: Line Polygons
Date: 28 Aug 2024 17:55:00
Message: <web.66cf9bb5236540401f9dae3025979125@news.povray.org>
"Bald Eagle" <cre### [at] netscapenet> wrote:

> A really nice effect is achieved when you reverse the direction of every other
> triangle/polygon

And here's that, with an improved color scheme for jr.  :)


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From: Bald Eagle
Subject: Re: Line Polygons
Date: 28 Aug 2024 21:15:00
Message: <web.66cfcb44236540401f9dae3025979125@news.povray.org>
Playing around with the apparent 3D effect of the pattern, and fixing some
mis-matched edges, I was able to fade out the edges and make it look like it's a
3D surface of the image plane.

It would make a cool desktop or 3D tattoo.


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From: yesbird
Subject: Re: Line Polygons
Date: 29 Aug 2024 05:44:24
Message: <66d042f8@news.povray.org>
On 29/08/2024 04:13, Bald Eagle wrote:
> 
> Playing around with the apparent 3D effect of the pattern, and fixing some
> mis-matched edges, I was able to fade out the edges and make it look like it's a
> 3D surface of the image plane.
> 
> It would make a cool desktop or 3D tattoo.

It's become very smooth and meditative, maybe pastel-like coloring will
improve this effect ?
--
YB


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From: Alain Martel
Subject: Re: Line Polygons
Date: 29 Aug 2024 08:49:08
Message: <66d06e44$1@news.povray.org>
Le 2024-08-28 à 21:13, Bald Eagle a écrit :
> 
> Playing around with the apparent 3D effect of the pattern, and fixing some
> mis-matched edges, I was able to fade out the edges and make it look like it's a
> 3D surface of the image plane.
> 
> It would make a cool desktop or 3D tattoo.

As a tattoo, you'll need one of the best of the bests of the tattoo 
artist to create that.


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