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From: Bill Pragnell
Subject: Strange attractors
Date: 6 Dec 2009 17:38:57
Message: <4b1c3281@news.povray.org>
All that amazing mandelbulb stuff has inspired me to dig out a strange 
attractor search/plot app I wrote a few years ago, and try to get some 
decent plots into POV-Ray. Here's a few of the nicer ones I've found 
over the last couple of weeks.

Bill


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Attachments:
Download 'dancer.jpg' (90 KB) Download 'shuriken.jpg' (96 KB) Download 'scribble.jpg' (88 KB) Download 'topshell.jpg' (84 KB) Download 'loop.jpg' (81 KB) Download 'barbwire.jpg' (70 KB) Download 'ribbons.jpg' (81 KB) Download 'hook.jpg' (62 KB) Download 'spidery.jpg' (74 KB) Download 'crownothorns.jpg' (72 KB)

Preview of image 'dancer.jpg'
dancer.jpg

Preview of image 'shuriken.jpg'
shuriken.jpg

Preview of image 'scribble.jpg'
scribble.jpg

Preview of image 'topshell.jpg'
topshell.jpg

Preview of image 'loop.jpg'
loop.jpg

Preview of image 'barbwire.jpg'
barbwire.jpg

Preview of image 'ribbons.jpg'
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Preview of image 'hook.jpg'
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Preview of image 'spidery.jpg'
spidery.jpg

Preview of image 'crownothorns.jpg'
crownothorns.jpg


 

From: Dre
Subject: Re: Strange attractors
Date: 6 Dec 2009 19:55:33
Message: <4b1c5285$1@news.povray.org>
"Bill Pragnell" <bil### [at] hotmailcom> wrote in message 
news:4b1c3281@news.povray.org...
> All that amazing mandelbulb stuff has inspired me to dig out a strange
> attractor search/plot app I wrote a few years ago, and try to get some
> decent plots into POV-Ray. Here's a few of the nicer ones I've found
> over the last couple of weeks.
>
> Bill
>

AWESOME!!!!

Really, they are WOW images to me :)

I'd love to know some more about how you did this!

Cheers Dre


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From: waggy
Subject: Re: Strange attractors
Date: 6 Dec 2009 21:35:01
Message: <web.4b1c6921e6b3a3e0f99d05c80@news.povray.org>
Lovely...Just lovely!


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From: Tim Cook
Subject: Re: Strange attractors
Date: 6 Dec 2009 22:07:58
Message: <4b1c718e$1@news.povray.org>
Now model a modern art gallery and put these on pedestals therein.

--
Tim Cook
http://empyrean.freesitespace.net


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From: Christian Froeschlin
Subject: Re: Strange attractors
Date: 7 Dec 2009 03:15:17
Message: <4b1cb995$1@news.povray.org>
Bill Pragnell wrote:

> Here's a few of the nicer ones I've found 
> over the last couple of weeks.

Neat! I take it these images are essentially an exorbitant
number of spheres around externally generated data points?

I wondered if it's a blob but I thought some transitions
didn't quite look like it, although it's hard to tell
with the small object size. If it's spheres it might
be worth to try a blob for faster rendering.


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From: Thomas de Groot
Subject: Re: Strange attractors
Date: 7 Dec 2009 03:28:06
Message: <4b1cbc96$1@news.povray.org>
"Bill Pragnell" <bil### [at] hotmailcom> schreef in bericht 
news:4b1c3281@news.povray.org...
> All that amazing mandelbulb stuff has inspired me to dig out a strange
> attractor search/plot app I wrote a few years ago, and try to get some
> decent plots into POV-Ray. Here's a few of the nicer ones I've found
> over the last couple of weeks.
>

Strange and attractive, Bill :)

Good work!

Thomas


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From: Bill Pragnell
Subject: Re: Strange attractors
Date: 7 Dec 2009 04:10:01
Message: <web.4b1cc63ee6b3a3e06dd25f0b0@news.povray.org>
"Dre" <and### [at] gmailcom> wrote:
> Really, they are WOW images to me :)

Thanks! It's just a shame they don't look as good at higher resolutions.

> I'd love to know some more about how you did this!

Most of the work is done externally, I'm really only using POV-Ray to plot a
dataset and do pretty lighting. I used some of the equations given on the
Chaoscope website (http://www.chaoscope.org/doc/attractors.htm), originally in a
Java app (the quickest way I knew to implement some sort of gui at the time).
Basically, if the orbit doesn't collapse or escape within a few hundred
iterations I plot it properly for inspection. Most of these turn out to be
mundane, but every now and again an 'interesting' one crops up. At this point I
save the equation coefficients in a data file.

Java is entirely unsuitable for iterating 1e8 points over a 30+ coefficient
dynamical system, so eventually I wrote a simple tool in C++ to do some proper
plotting from the saved coefficients, and (optionally) to write a text file full
of vectors suitable for reading from POV-Ray SDL.

Add some random lights using the data file as a seed, and away we go...

:)


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From: Bill Pragnell
Subject: Re: Strange attractors
Date: 7 Dec 2009 04:15:00
Message: <web.4b1cc681e6b3a3e06dd25f0b0@news.povray.org>
Tim Cook <z99### [at] gmailcom> wrote:
> Now model a modern art gallery and put these on pedestals therein.

Good idea! I could make some of them really big, put 2D plots in picture
frames... *gazes into middle distance*


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From: Bill Pragnell
Subject: Re: Strange attractors
Date: 7 Dec 2009 04:25:00
Message: <web.4b1cc8ece6b3a3e06dd25f0b0@news.povray.org>
Christian Froeschlin <chr### [at] chrfrde> wrote:
> Neat! I take it these images are essentially an exorbitant
> number of spheres around externally generated data points?

Exactly right. :) (See my other post for my somewhat hacky workflow)

The data files vary in size from a few 100k for the thin spindly ones, up to
20MB+ for the more voluminous ones. Luckily even the vast ones are pretty quick
to produce from just the equation coefficient data. The slowest part appears to
be writing the data file!

> I wondered if it's a blob but I thought some transitions
> didn't quite look like it, although it's hard to tell
> with the small object size. If it's spheres it might
> be worth to try a blob for faster rendering.

I tried blobs, but they turn out to be many times slower for this case. These do
use radiosity and multiple area_lights, after all. With antialiasing off, they
render in a couple of minutes (parsing can be longer!). With AA on, an hour or
so.

Actually I quite like the expanded-polystyrene/gritty look that bare spheres
produce!


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From: LightBeam
Subject: Re: Strange attractors
Date: 7 Dec 2009 11:18:33
Message: <4b1d2ad9$1@news.povray.org>
I Really love "barbwire"... How did you code these ?


> All that amazing mandelbulb stuff has inspired me to dig out a strange 
> attractor search/plot app I wrote a few years ago, and try to get some 
> decent plots into POV-Ray. Here's a few of the nicer ones I've found 
> over the last couple of weeks.
> 
> Bill
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