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From: Tor Olav Kristensen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 23 Oct 2004 10:01:29
Message: <417a6439@news.povray.org>
Alberto Mendoza wrote:
...
> As all ways, an excellent work.

Thank you Alberto.

-- 
Tor Olav
http://subcube.net
http://subcube.com


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From: Tor Olav Kristensen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 23 Oct 2004 10:01:53
Message: <417a6451@news.povray.org>
Thomas de Groot wrote:
> Impressive!
> The question from many fans: "Master, how did you do it?"  ;-)

Hehe... The main ingredients are my NURBS macros, my Frenet
Frame macros and the "New Surface Subdivision Suite" by John
VanSickle.

I can try to explain more later today.

-- 
Tor Olav
http://subcube.net
http://subcube.com


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From: Tor Olav Kristensen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 23 Oct 2004 10:02:03
Message: <417a645b$1@news.povray.org>
LightBeam wrote:
> I'm allways admirative when I see your images. You're, for me, the 
> torus-master ;-)

=)

I've been very fascinated by the shape and the topology of
tori all the time since I started to try to model smooth
and complex shapes in POV-Ray.

-- 
Tor Olav
http://subcube.net
http://subcube.com


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From: Tor Olav Kristensen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 23 Oct 2004 10:02:21
Message: <417a646d$1@news.povray.org>
Florian Brucker wrote:
> Amazing! It's a mesh, isn't it?

Yes Florian, it's a mesh.

I think that this shape can also be made as an isosurface,
but I don't have enough computing power for that yet.

-- 
Tor Olav
http://subcube.net
http://subcube.com


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From: Tor Olav Kristensen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 23 Oct 2004 10:02:42
Message: <417a6482@news.povray.org>
Jellby wrote:
> Among other things, Tor Olav Kristensen saw fit to write:
> 
> 
>>As I mentioned earlier, I wanted to model something like
>>Escher's "Moebius Strip II" (woodcut from 1963) for my
>>POVCOMP entry. But I didn't finish my macros early enough,
>>so I had to abandon my attempt.
>>
>>Yesterday I sat down and finished the most important
>>macros and today I debugged them and rendered a scene that

>>knot.
> 
> 
> You do know similar things were also drawn by Escher (1965), don't you?
> http://cybermuse.gallery.ca/cybermuse/youth/escher/enlargements/NGC_29143.jpg

Yes I do , I should have mentioned that those images
together with Tom Longtin's first image on this page:

   http://www.sover.net/%7Etlongtin/sub_page_3.htm

and M. Trott's little animation at this page:

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

inspired me to make this image.

-- 
Tor Olav
http://subcube.net
http://subcube.com


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From: Tor Olav Kristensen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 23 Oct 2004 10:24:19
Message: <417a6993@news.povray.org>
Here is a version with a little more reflective
texture and better sadiosity settings.

-- 
Tor Olav
http://subcube.net
http://subcube.com


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Attachments:
Download 'trefoilmoebiusknot06.jpg' (78 KB)

Preview of image 'trefoilmoebiusknot06.jpg'
trefoilmoebiusknot06.jpg


 

From: Samuel Benge
Subject: Re: Moebius Band as a Trefoil Knot
Date: 23 Oct 2004 19:33:25
Message: <417AEA2F.4090707@hotmail.com>
Tor Olav Kristensen wrote:

> Here is a version with a little more reflective
> texture and better sadiosity settings.
> 
> 
> ------------------------------------------------------------------------
> 

It's a technical masterpiece. Good work!

-Sam


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From: Shay
Subject: Re: Moebius Band as a Trefoil Knot
Date: 24 Oct 2004 13:02:21
Message: <417be01d@news.povray.org>
Tor Olav Kristensen wrote:

Very nice. But not up to your usual standard of "sharpness." The 
rectangular holes are too obviously (seen by the distorted inside 
"trim") stretched squares.

  -Shay


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From: Tor Olav Kristensen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 24 Oct 2004 16:35:35
Message: <417c1217$1@news.povray.org>
Shay wrote:
> Tor Olav Kristensen wrote:
> 
> Very nice. But not up to your usual standard of "sharpness." The 
> rectangular holes are too obviously (seen by the distorted inside 
> "trim") stretched squares.

The mesh in this shape was only subdivided once, because my
PC does not have enough memory to handle a second subdivision.

That's why the corners of the holes suffer like you describe.
I wasn't sure if other would notice that.

But now I know, so maybe I should buy some more memory...

Thank you for commenting.

-- 
Tor Olav
http://subcube.net
http://subcube.com


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From: James Buddenhagen
Subject: Re: Moebius Band as a Trefoil Knot
Date: 24 Oct 2004 20:08:36
Message: <417c4404$1@news.povray.org>
Neat!  You might find this site interesting, not POV but
similar to some of you stuff.

http://www.rinusroelofs.nl/rhinoceros/rhinoceros-00.html

Jim Buddenhagen


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