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freespace — Klein Bottle

Published: 2004-08-27 00:00:38 +0000 UTC; Views: 658; Favourites: 9; Downloads: 45
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Description Topology:
Its a 4dimensional 2d manifold immersed in 3d space projected onto a 2d plane (your monitor). It has no edge, one side, yet is an enclosed surface, but with out any volumn. Trippy

Origin:
this model started off as a visualisation aid when M and I wanted to know happened if you used a Klein bottle as a Gaussian surface, and additionally what happened when you performed the "exploding confetti" experiement with a conducting Klein bottle

Tech:
Modeled original in blender by deforming a tube and manually stitching it together. Then a section of faces around the intersection was removed, and a stitched in so there is a hole in the side. Finally subdivision surfaces was used to make it smooth.

Rendered using blender's internal ray tracer, the reflective index used is that of diamonds. Not the lack of any caustic effects in the shadows.

Trivia:
Blender's re-calculate normal function doesn't handle this model very well Also, the normal plays a HUGE part in the ray-tracing process. If some of your faces start to disappear, check your normals!
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Comments: 7

misstoffu [2006-07-25 14:28:57 +0000 UTC]

Interesting "Its a 4dimensional 2d manifold immersed in 3d space projected onto a 2d plane (your monitor). It has no edge, one side, yet is an enclosed surface, but with out any volumn." Well said!

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freespace In reply to misstoffu [2006-08-15 13:19:01 +0000 UTC]

Hahah, thanks

👍: 0 ⏩: 1

misstoffu In reply to freespace [2006-08-15 15:50:59 +0000 UTC]

👍: 0 ⏩: 0

whywhy [2004-08-28 02:25:20 +0000 UTC]

What's this 'no critique preference' thing? Anyway, I really like it... not quite exactly how I would've imagined it... as in somehow the image being projected as a 2d image just doesn't seem to evoke some of the characteristics ur describing e.g. no edge, no volume etc.... i guess cause i just haven't got my head around it yet.

Looks cool though

👍: 0 ⏩: 1

freespace In reply to whywhy [2004-08-28 06:59:39 +0000 UTC]

I have no idea, must be another feature

I'll BUY one, and show you some one day

Glad you like it

👍: 0 ⏩: 1

whywhy In reply to freespace [2004-08-29 06:30:37 +0000 UTC]

you can buy them?

Well now I've heard everything... I'd like to see this 4th dimensional object in real life

J/k

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freespace In reply to whywhy [2004-08-29 07:13:34 +0000 UTC]

hehe, nah, you can buy 3d immersions of them.

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