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From: Robert McGregor
Subject: Re: Strange attractors
Date: 9 Dec 2009 08:40:01
Message: <web.4b1fa796e6b3a3e04726e92b0@news.povray.org>
"Bill Pragnell" <bil### [at] hotmailcom> wrote:
> Looks interesting - it's a pity you can't quite make out the attractors'
> shapes... good idea though.

Ah, excellent point - here are the source attractors for the morph.

-Rob
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http://www.McGregorFineArt.com


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Attachments:
Download 'sourceattractors.png' (325 KB)

Preview of image 'sourceattractors.png'
sourceattractors.png


 

From: Robert McGregor
Subject: Re: Strange attractors
Date: 9 Dec 2009 08:55:00
Message: <web.4b1fab7de6b3a3e04726e92b0@news.povray.org>
"Bill Pragnell" <bil### [at] hotmailcom> wrote:
> I might try an animation using my sphere technique,
> if I turn off AA they only take a minute or so.

This morning I found this morph animation in a subfolder of my attractors
folder; I had completely forgotten about it! Originally rendered as an 1920x1080
(HD) AVI, I just squashed it down into this little MPEG-4 to post here.

-Rob
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http://www.McGregorFineArt.com


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From: Bill Pragnell
Subject: Re: Strange attractors
Date: 9 Dec 2009 09:05:00
Message: <web.4b1fae64e6b3a3e06dd25f0b0@news.povray.org>
"Robert McGregor" <rob### [at] mcgregorfineartcom> wrote:
> "Bill Pragnell" <bil### [at] hotmailcom> wrote:
> > I might try an animation using my sphere technique,
> > if I turn off AA they only take a minute or so.
>
> This morning I found this morph animation in a subfolder of my attractors
> folder; I had completely forgotten about it! Originally rendered as an 1920x1080
> (HD) AVI, I just squashed it down into this little MPEG-4 to post here.

That's fascinating! I take it these two attractors use the same set of
equations? It looks like it - there appears to be a certain congruence between
some of the features (if that's the right phrase!).

I've got to try this!

:)


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From: Paolo Gibellini
Subject: Re: Strange attractors
Date: 9 Dec 2009 09:28:32
Message: <4b1fb410$1@news.povray.org>
I like them all.
A worthy tribute to chaos theory.
;-)
Paolo

 >Bill Pragnell  on date 06/12/2009 23:31 wrote:
> 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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From: Darren New
Subject: Re: Strange attractors
Date: 9 Dec 2009 11:23:28
Message: <4b1fcf00$1@news.povray.org>
Bill Pragnell wrote:
> All that amazing mandelbulb stuff has inspired me to dig out a strange 
> attractor search/plot app I wrote a few years ago, 

My primary suggestion is to try making stereoscopic pairs. I found that to 
be great fun when I was playing with such stuff. It really brings out the 
complexity better.

-- 
Darren New, San Diego CA, USA (PST)
   Human nature dictates that toothpaste tubes spend
   much longer being almost empty than almost full.


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From: Robert McGregor
Subject: Re: Strange attractors
Date: 9 Dec 2009 14:10:00
Message: <web.4b1ff4dde6b3a3e086ff1d480@news.povray.org>
"Bill Pragnell" <bil### [at] hotmailcom> wrote:
> "Robert McGregor" <rob### [at] mcgregorfineartcom> wrote:
> > "Bill Pragnell" <bil### [at] hotmailcom> wrote:
> > > I might try an animation using my sphere technique,
> > > if I turn off AA they only take a minute or so.
> >
> > This morning I found this morph animation in a subfolder of my attractors
> > folder; I had completely forgotten about it! Originally rendered as an 1920x1080
> > (HD) AVI, I just squashed it down into this little MPEG-4 to post here.
>
> That's fascinating! I take it these two attractors use the same set of
> equations? It looks like it - there appears to be a certain congruence between
> some of the features (if that's the right phrase!).
>
> I've got to try this!
>
> :)

Well, my little app calculates Lyapunov exponents based on some random numbers,
looping over the function until I get lucky and the series doesn't tend toward
zero or infinity. Then it creates 100,000 or so particles and draws a preview in
the viewport. If I like what I see I can click a button that saves the data as a
POV include file (an array of vectors) along with the preview bitmap, or click a
"Try Another" button to start over. I saved off more than a hundred interesting
varieties over the couple of weeks that I was exploring these types of
attractors.

Something I found really exciting and fascinating was seeing a real-life
attractor a couple of months later, one I thought I recognized from my
experiments! It was early June, 2007, nearing sunset here on the east coast of
Florida and the space shuttle had launched about 15 miles from my home. Some
weird chaotic upper air currents were doing an attractor dance up there and the
smoke trail left by the shuttle showed the pattern. I grabbed my camera and took
a few shots for posterity. Here's the attractor saved by my app preview and the
similar real-life version:


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Attachments:
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Preview of image 'shuttleattractorcloud.jpg'
shuttleattractorcloud.jpg


 

From: nemesis
Subject: Re: Strange attractors
Date: 9 Dec 2009 14:55:01
Message: <web.4b1fffdce6b3a3e0773c9a3e0@news.povray.org>
Life imitates art. :)

glad you're quick on the camera!


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From: Thomas de Groot
Subject: Re: Strange attractors
Date: 10 Dec 2009 04:27:43
Message: <4b20bf0f$1@news.povray.org>
"Robert McGregor" <rob### [at] mcgregorfineartcom> schreef in bericht 
news:web.4b1ff4dde6b3a3e086ff1d480@news.povray.org...
> Something I found really exciting and fascinating was seeing a real-life
> attractor a couple of months later, one I thought I recognized from my
> experiments! It was early June, 2007, nearing sunset here on the east 
> coast of
> Florida and the space shuttle had launched about 15 miles from my home. 
> Some
> weird chaotic upper air currents were doing an attractor dance up there 
> and the
> smoke trail left by the shuttle showed the pattern. I grabbed my camera 
> and took
> a few shots for posterity. Here's the attractor saved by my app preview 
> and the
> similar real-life version:
>

Incredible! This is a fantastic experience.

Thomas


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From: Tim Attwood
Subject: Re: Strange attractors
Date: 12 Dec 2009 22:21:45
Message: <4b245dc9$1@news.povray.org>
>> I've seen one made out from an old ploter converted with the laser from
>> an old fax machine. You can also reuse one from any old laser printer.
>> It could create stuning models out of ordinary sugar with a granyness of
>> about 0.5mm.
>> It can be home made for under $100 or about, and the functioning cost is
>> prety low.

The CupCake 3D printer kit is $750.
http://store.makerbot.com/cupcake-cnc.html

The RepRap Darwin runs about $400 in parts,
they're close to finalizing the Mendel model as well.
There's a nice photo of some printed objects on display
at Massey University on the front page.
http://reprap.org/bin/view/Main/WebHome


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From: CShake
Subject: Re: Strange attractors
Date: 13 Dec 2009 01:09:53
Message: <4b248531$1@news.povray.org>
Robert McGregor wrote:
> Something I found really exciting and fascinating was seeing a real-life
> attractor a couple of months later, one I thought I recognized from my
> experiments! It was early June, 2007, nearing sunset here on the east coast of
> Florida and the space shuttle had launched about 15 miles from my home. Some
> weird chaotic upper air currents were doing an attractor dance up there and the
> smoke trail left by the shuttle showed the pattern. I grabbed my camera and took
> a few shots for posterity. Here's the attractor saved by my app preview and the
> similar real-life version:
> 
> 
> ------------------------------------------------------------------------
> 
That looks great! I wonder if it's possible to render something similar 
to the clouds/smoke, instead of just a lot of spheres...


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