POV-Ray : Newsgroups : povray.binaries.images : Strange attractors revisited Server Time
30 Jul 2024 12:26:43 EDT (-0400)
  Strange attractors revisited (Message 1 to 10 of 10)  
From: Bill Pragnell
Subject: Strange attractors revisited
Date: 20 Dec 2011 18:27:08
Message: <4ef119cc@news.povray.org>
Just over 2 years ago, I posted some images of 3d strange attractors I'd 
found, in this thread:

http://news.povray.org/povray.binaries.images/thread/%3C4b1c3281%40news.povray.org%3E/?mtop=333040

I recently returned to the project, improved my workflow (such as it 
is), spruced up the plotting a bit, added some more equations and so 
forth. I'm building a simple online gallery to house the resulting 
images, which I shall post here when it's up to scratch.

In the meantime, here are some more fruits of my experiments. The most 
frequently pleasing and quickest to find appear to belong to the 
Pickover and Lorenz-84 equations, but the polynomial 'abs' and 'sin' 
produce some wonderful angular, crystalline shapes if one is 
sufficiently patient.

njoy
Bill


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Attachments:
Download 'polysin_goat.jpg' (198 KB) Download 'polypow_hawk.jpg' (331 KB) Download 'lorenz84_fish.jpg' (518 KB) Download 'pickover_city.jpg' (330 KB) Download 'lorenz_warrior.jpg' (452 KB) Download 'polyabs_march.jpg' (250 KB) Download 'polya_web.jpg' (345 KB) Download 'pickover_glance.jpg' (379 KB) Download 'lorenz84_shell.jpg' (515 KB)

Preview of image 'polysin_goat.jpg'
polysin_goat.jpg

Preview of image 'polypow_hawk.jpg'
polypow_hawk.jpg

Preview of image 'lorenz84_fish.jpg'
lorenz84_fish.jpg

Preview of image 'pickover_city.jpg'
pickover_city.jpg

Preview of image 'lorenz_warrior.jpg'
lorenz_warrior.jpg

Preview of image 'polyabs_march.jpg'
polyabs_march.jpg

Preview of image 'polya_web.jpg'
polya_web.jpg

Preview of image 'pickover_glance.jpg'
pickover_glance.jpg

Preview of image 'lorenz84_shell.jpg'
lorenz84_shell.jpg


 

From: Robert McGregor
Subject: Re: Strange attractors revisited
Date: 20 Dec 2011 21:20:01
Message: <web.4ef1416d61f9bc2194d713cc0@news.povray.org>
Wow, these almost make me want to revisit my own attractors again... maybe
someday :)

Beautiful stuff Bill!

-------------------------------------------------
www.McGregorFineArt.com


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From: Robert McGregor
Subject: Re: Strange attractors revisited
Date: 20 Dec 2011 21:50:01
Message: <web.4ef1492161f9bc2194d713cc0@news.povray.org>
LOL, I just glanced at these on my monitor from across the room and
'polya_web.jpg' suddenly reminded me of the flying spaghetti monster from
Lighting Challenge #10 over on 3dRender.com:

http://www.3drender.com/challenges/FlyingSpaghettiMonster/index.htm

;)
-------------------------------------------------
www.McGregorFineArt.com


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From: clipka
Subject: Re: Strange attractors revisited
Date: 20 Dec 2011 23:21:41
Message: <4ef15ed5$1@news.povray.org>
Am 21.12.2011 00:24, schrieb Bill Pragnell:

> In the meantime, here are some more fruits of my experiments. The most
> frequently pleasing and quickest to find appear to belong to the
> Pickover and Lorenz-84 equations, but the polynomial 'abs' and 'sin'
> produce some wonderful angular, crystalline shapes if one is
> sufficiently patient.

Superb lighting work! Proves once again what an excellent and versatile 
tool POV-Ray is.

If I'd had to guess, say, five years ago, I'd probably have thought them 
to be photographs of some shotcrete-on-wireframe sculptures or the like.


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From: Thomas de Groot
Subject: Re: Strange attractors revisited
Date: 21 Dec 2011 04:24:14
Message: <4ef1a5be$1@news.povray.org>
Beautiful alien sculptures!

Thomas


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From: Samuel Benge
Subject: Re: Strange attractors revisited
Date: 21 Dec 2011 16:50:00
Message: <web.4ef253ee61f9bc218f07d5be0@news.povray.org>
Bill Pragnell <bil### [at] hotmailcom> wrote:
> Pickover and Lorenz-84 equations, but the polynomial 'abs' and 'sin'
> produce some wonderful angular, crystalline shapes if one is
> sufficiently patient.

Very cool, Bill. I especially like "polypow_hawk.jpg," which indeed looks quite
crystalline, almost like intersecting pyrophyllite or talc shards (if it were
green, that is).


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From: Bill Pragnell
Subject: Re: Strange attractors revisited
Date: 21 Dec 2011 18:20:01
Message: <web.4ef2688161f9bc21d0f9732c0@news.povray.org>
"Robert McGregor" <rob### [at] mcgregorfineartcom> wrote:
> Wow, these almost make me want to revisit my own attractors again... maybe
> someday :)

You know you want to :)


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From: Bill Pragnell
Subject: Re: Strange attractors revisited
Date: 21 Dec 2011 18:25:00
Message: <web.4ef26a2b61f9bc21d0f9732c0@news.povray.org>
clipka <ano### [at] anonymousorg> wrote:
> Superb lighting work! Proves once again what an excellent and versatile
> tool POV-Ray is.

Thanks! 2 area lights, colours and positions seeded by number of points, tweaked
by hand until they look good (lots of lurid purple & green combos discarded!).
Radiosity pretty straightforward, with a 50% grey sky.

> If I'd had to guess, say, five years ago, I'd probably have thought them
> to be photographs of some shotcrete-on-wireframe sculptures or the like.

I had to wiki shotcrete - I thought of expanded polystyrene :) It'd be great to
see these rapid prototyped, but I have no idea how I'd export them... last time
Darren suggested stereo pairs, which I might try.


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From: Bill Pragnell
Subject: Re: Strange attractors revisited
Date: 21 Dec 2011 18:30:00
Message: <web.4ef26b6b61f9bc21d0f9732c0@news.povray.org>
"Samuel Benge" <stb### [at] hotmailcom> wrote:
> Very cool, Bill. I especially like "polypow_hawk.jpg," which indeed looks quite
> crystalline, almost like intersecting pyrophyllite or talc shards (if it were
> green, that is).

Of course I meant polynomial 'power' not 'sin' :) I'll take your word for the
geology!

I'm finishing rendering another batch at the moment, once they're done I can put
the final touches to the gallery. It's just a shame the crystalline shapes take
so long to find...!


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From: Paolo Gibellini
Subject: Re: Strange attractors revisited
Date: 3 Jan 2012 05:15:36
Message: <4f02d548$1@news.povray.org>
>Bill Pragnell  on date 21/12/2011 00:24 wrote:
> In the meantime, here are some more fruits of my experiments. The most
> frequently pleasing and quickest to find appear to belong to the
> Pickover and Lorenz-84 equations, but the polynomial 'abs' and 'sin'
> produce some wonderful angular, crystalline shapes if one is
> sufficiently patient.
A "frozen" effect really nice. A tribute to Lorenz?
Paolo


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