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From another dimension [message #35590] Sat, 01 October 2011 14:28 UTC Go to next message
avatar virtox  is currently offline virtox
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It has arrived from another dimension!

Just follow the trail: http://www.youtube.com/watch?v=a8sWLDGxDF4 ----> http://shpws.me/3lIs


[Updated on: Sat, 01 October 2011 14:30 UTC]


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Re: From another dimension [message #35591 is a reply to message #35590 ] Sat, 01 October 2011 14:53 UTC Go to previous messageGo to next message
avatar Magic  is currently offline Magic
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Excellent! It is a Klein bottle, right? But with an axis of symmetry...
Well done!
Like the video too... Smile


So many things to design, so little time...
Re: From another dimension [message #35636 is a reply to message #35591 ] Sun, 02 October 2011 02:42 UTC Go to previous messageGo to next message
avatar henryseg  is currently offline henryseg
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Very cool... could you do something similar with this model of the Klein bottle?

http://www.geom.uiuc.edu/zoo/toptype/klein/figure8/

Re: From another dimension [message #35657 is a reply to message #35590 ] Sun, 02 October 2011 09:39 UTC Go to previous messageGo to next message
avatar virtox  is currently offline virtox
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Thanks!
Means a lot coming from you both Smile

It is sort of a double Klein bottle I think, but Klein is normally non-orientable, while this one is, although inside and outside get swapped here and there Wink

I have been working on a Klein eight http://www.shapeways.com/model/337239/ but was not yet sure how to continue in making it printable/visible.





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Re: From another dimension [message #35663 is a reply to message #35657 ] Sun, 02 October 2011 11:09 UTC Go to previous messageGo to next message
avatar stop4stuff  is currently offline stop4stuff
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Very cool model Virtox Smile

And the figure 8 klein looks good too.

Paul


[Updated on: Sun, 02 October 2011 11:55 UTC]

Re: From another dimension [message #35667 is a reply to message #35590 ] Sun, 02 October 2011 11:45 UTC Go to previous messageGo to next message
avatar virtox  is currently offline virtox
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Thanks!

As HenrySeg also suggested, I am looking for ways to merge the two forms.
It will probably be a while before I can bend the Klein Eight to the shape I am looking for.
Took me a bit over two years and 50+ (complex) variations to get from the basic 8-torus to the Pharamo Wink

And the Klein Eight is a very inspiring and fascinating shape with a lot of potential.
More so than the original Klein, which I have always found fascinating, but somehow not very esthetically pleasing.
Although Bathsheba did an excellent job.

I love discussing the Klein (Eight) further, but to keep it a bit more on topic here, I added an open WIP thread for math shapes:
http://www.shapeways.com/forum/index.php?t=msg&goto=3566 6


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Re: From another dimension [message #35668 is a reply to message #35667 ] Sun, 02 October 2011 11:53 UTC Go to previous messageGo to next message
avatar henryseg  is currently offline henryseg
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I hadn't realised that it was actually orientable Smile

Did you try a symmetrical version, so that if you turn it upside down it's the same?
Re: From another dimension [message #35672 is a reply to message #35590 ] Sun, 02 October 2011 12:10 UTC Go to previous messageGo to next message
avatar virtox  is currently offline virtox
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Haha, well to be honest, for a long time while I was working on this I thought it was non-orientable. Until I started working on a textured one I realized it actually was Smile

At first I started with a basic symmetric versions:
http://www.shapeways.com/model/50742/
http://www.shapeways.com/model/320015/

And tried many times to find a pleasing surface, sometimes symmetric, sometimes not.
But when I finally had the asymmetric Pharamo version, I had to make a symmetric one too:
http://www.shapeways.com/model/320880/

Edit: typos

[Updated on: Sun, 02 October 2011 13:47 UTC]


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Re: From another dimension [message #35674 is a reply to message #35672 ] Sun, 02 October 2011 12:34 UTC Go to previous messageGo to next message
avatar henryseg  is currently offline henryseg
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Very cool... I think you're right in highlighting the non-symmetric version, it is a more interesting object.

Ok here's an idea: there should be a way to smoothly deform between the two styles of holes/strands. How about moving back and forth between these two styles as we rotate around the object?
Re: From another dimension [message #35675 is a reply to message #35672 ] Sun, 02 October 2011 12:40 UTC Go to previous messageGo to next message
avatar stop4stuff  is currently offline stop4stuff
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Virtox, you talking about Fig. 11 a ( http://www.cs.berkeley.edu/~sequin/PAPERS/2011_Bridges_ToriS tori.pdf)?

I suppose the next progression from that would be multiple double klein bottles arranged in a ring with the top and bottom bottles offset by one around the circle.

Maths formula isn't a strong point for me, I've a touch of dyslexia that gives me brainache looking at equations, but imagining how a structure is built and figuring how to make it work I can do Smile

The works of Charles O. Perry are quite inspirational too... I managed to replicate his Indiana Arc. My model is here

Re: From another dimension [message #35676 is a reply to message #35590 ] Sun, 02 October 2011 12:51 UTC Go to previous messageGo to next message
avatar virtox  is currently offline virtox
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@Henry, yes that should make for a very interesting variation Smile

@Paul, yes 11a was what I meant indeed, I am trying to imagine a tetrahedral-like variation, where each "point" is the bottom of a Klein bottle of sorts.
Where each would have three other "bottoms" to connect to.
As far as I can tell, the surface should also be orientable then.

[Updated on: Fri, 07 October 2011 14:41 UTC]


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Re: From another dimension [message #35739 is a reply to message #35676 ] Mon, 03 October 2011 03:41 UTC Go to previous messageGo to next message
avatar LincolnK  is currently offline LincolnK
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Very cool design.

Hurts my head to think about it, so I just look at it and all is well again. Smile

Lincoln


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Re: From another dimension [message #36140 is a reply to message #35590 ] Fri, 07 October 2011 14:33 UTC Go to previous messageGo to next message
avatar virtox  is currently offline virtox
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Thank you Smile

Added some better photos, still not 100% satisfied though, the WSF polished is even very difficult to photograph,
so I got myself several sheets of large cardboard in different shades white to black, this is medium grey:


Pharamo


http://www.shapeways.com/openfile/336549/photos/photo52704.jpg?1317997874203

http://www.shapeways.com/openfile/336549/photos/photo52707.jpg?1317997903738


[Updated on: Fri, 07 October 2011 14:42 UTC]


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Re: From another dimension [message #36176 is a reply to message #36140 ] Fri, 07 October 2011 19:59 UTC Go to previous message
avatar Magic  is currently offline Magic
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Wow the pictures look like rendering (this is a compliment Smile).
Very beautiful model, definitely.


So many things to design, so little time...

 
   
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