POV-Ray : Newsgroups : povray.binaries.images : Sphere inversions (1/3) [112K] Server Time
5 May 2024 09:43:29 EDT (-0400)
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From: scam
Subject: Re: Sphere inversions (1/3) [112K]
Date: 17 Feb 2007 06:35:01
Message: <web.45d6e7d12d8cd81be4ce1bd60@news.povray.org>
Orchid XP v3 <voi### [at] devnull> wrote:
> So... is that something like taking the reciprocol of a complex number?

Here's a good introduction in 2D:
http://mathworld.wolfram.com/Inversion.html


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From: Orchid XP v3
Subject: Re: Sphere inversions (1/3) [112K]
Date: 17 Feb 2007 07:24:12
Message: <45d6f3ec$1@news.povray.org>
>> So... is that something like taking the reciprocol of a complex number?
> 
> Here's a good introduction in 2D:
> http://mathworld.wolfram.com/Inversion.html

http://mathworld.wolfram.com/Reciprocal.html

Seems to indicate that the reciprocal of a complex number is indeed an 
inversion with respect to the unit circle in the complex plane.


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From: Tor Olav Kristensen
Subject: Re: Sphere inversions (1/3) [112K]
Date: 18 Feb 2007 19:45:17
Message: <45d8f31d$1@news.povray.org>
Florian Brucker wrote:
> Hi Tor!
> 
> Tor Olav Kristensen wrote:
>> Here's two similar ones:
> Ah, I've seen them before, but I forgot about them! The geometry is
> nice, what's the original structure?

It's a "straight" version of the isosurface used in this image:
http://hof.povray.org/Isosurface-Cubic_Space_Division.html

That structure looks similar to the one in the image in this post:

http://news.povray.org/3A21093C.4D45881A%40online.no
"Cubic Sphere Inversion" (21 Jan. 2004 to p.b.i.)

-- 
Tor Olav
http://subcube.net


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From: Eero Ahonen
Subject: Re: Sphere inversions (2/3) [112K]
Date: 19 Feb 2007 11:02:00
Message: <45d9c9f8@news.povray.org>
Florian Brucker wrote:
> The water would be the ultimate render time killer, I guess.

Transparency, ior and radiosity -compilation is also pretty good one ;).

-- 
Eero "Aero" Ahonen
   http://www.zbxt.net
      aer### [at] removethiszbxtnetinvalid


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From: bob from oz
Subject: Re: Sphere inversions (2/3) [112K]
Date: 21 Feb 2007 05:19:24
Message: <45dc1cac@news.povray.org>
Florian Brucker wrote:
> 
> ------------------------------------------------------------------------
> 

nice. this is quite pleasing to the eye

bob


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From: Florian Brucker
Subject: Re: Sphere inversions (2/3) [112K]
Date: 23 Feb 2007 05:48:44
Message: <45dec68c$1@news.povray.org>


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From: Eero Ahonen
Subject: Re: Sphere inversions (2/3) [112K]
Date: 23 Feb 2007 11:09:14
Message: <45df11aa$1@news.povray.org>
Florian Brucker wrote:
> Eero Ahonen wrote:
>> Florian Brucker wrote:
>>> The water would be the ultimate render time killer, I guess.
>> Transparency, ior and radiosity -compilation is also pretty good one ;).
> 
> Yep, but that's you Aero, nobody else is that crazy :P
> 

But hey, craziness is my trademark in such things. May I show the
textured versions of your inversions (well, I only have Torinet so far,
but I _will_ trace more:) here?

BTW, I'm still tracing my CGSphere draft's next version, THIS is getting
a bit too slow to get something done...

232:09:11 Rendering line 116 of 768, 4896 supersamples, 22577 rad. samples

-- 
Eero "Aero" Ahonen
   http://www.zbxt.net
      aer### [at] removethiszbxtnetinvalid


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From: Florian Brucker
Subject: Re: Sphere inversions (2/3) [112K]
Date: 23 Feb 2007 12:15:43
Message: <45df213f$1@news.povray.org>


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From: Eero Ahonen
Subject: Re: Sphere inversions (2/3) [50KiB]
Date: 23 Feb 2007 17:40:59
Message: <45df6d7b@news.povray.org>
Florian Brucker wrote:
> 
> Sure, show it! It's always interesting to see what different people make
> out of the same underlying concept :)
> 

Great :). Here's the red and transparent version of Torinet...

-- 
Eero "Aero" Ahonen
   http://www.zbxt.net
      aer### [at] removethiszbxtnetinvalid


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Attachments:
Download 'torinet.jpg' (51 KB)

Preview of image 'torinet.jpg'
torinet.jpg


 

From: Eero Ahonen
Subject: Re: Sphere inversions (2/3) [51KiB]
Date: 23 Feb 2007 17:41:10
Message: <45df6d86@news.povray.org>


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Attachments:
Download 'torinet.jpg' (1 KB) Download 'torinet2.jpg' (51 KB)

Preview of image 'torinet2.jpg'
torinet2.jpg


 

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