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From: scam
Subject: Re: Sphere inversions (1/3) [112K]
Date: 16 Feb 2007 21:15:00
Message: <web.45d664852d8cd81be4ce1bd60@news.povray.org>
Hi Florian, these are very nice, well done! Glad to see I wasn't the only
one mesmerized by these objects.

You've inspired me to have another look at these things, so I'll try and
come up with something interesting to post.

By the way, if anyone is interested in the code I used to generate my
version Florian referenced above, it's available here:
http://news.povray.org/web.447d804452ae62aa5c947f990%40news.povray.org

Cheers,

Sam (aka scam)


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From: Tor Olav Kristensen
Subject: Re: Sphere inversions (1/3) [112K]
Date: 16 Feb 2007 22:25:34
Message: <45d675ae$1@news.povray.org>
Florian Brucker wrote:
> Hi!
> 
> Here are some sphere inversions I've done recently, of course inspired
> by what scam [1] and Paul Bourke [2] did. I've used isosurfaces, meshes
> and sphere sweeps, depending on the original geometry. Aside from the 3
> I'm posting here, there are some more on [3], including my version of
> the "RSOCP of sphere inversion", the Truchet tiling :)
> 
> Comments welcome!
...

Here's two similar ones:

http://home.online.no/~t-o-k/POV-Ray_Images/Isosurface_Sphere_Inversion.jpg
http://home.online.no/~t-o-k/POV-Ray_Images/Isosurface_Circle_Inversion.jpg

-But I like your texture and light setting better !

-- 
Tor Olav
http://subcube.net


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From: Florian Brucker
Subject: Re: Sphere inversions (1/3) [112K]
Date: 17 Feb 2007 04:53:26
Message: <45d6d096$1@news.povray.org>


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From: Florian Brucker
Subject: Re: Sphere inversions (2/3) [112K]
Date: 17 Feb 2007 04:56:34
Message: <45d6d152$1@news.povray.org>


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From: Orchid XP v3
Subject: Re: Sphere inversions (1/3) [112K]
Date: 17 Feb 2007 06:11:12
Message: <45d6e2d0$1@news.povray.org>
So... is that something like taking the reciprocol of a complex number?


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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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