Thingiverse
Klein Bottle, Topologically Sound
by syvwlch
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Took some finicky fiddling but finally got a hand-drawn Klein bottle with all the normals going the right way, and was able to import it into TopMod and play with it.
The 'simplest' variant has not been subdivided in any way... it's a good starting point if you want to adjust the overall shape.
The 'skin' variant has been subdivided using the Doo Sabin remeshing option in TopMod, giving it a rounded, smooth look. It might make a very infuriating teapot, I suppose.
The 'bone' variant is the same as the 'skin', but with more visibility inside.
To get a good idea of what is going on inside, some of the pictures of the wireframe views of these Things are your best bet.
So this answers the question: Yes, we can make a Klein bottle.
EDIT: Added an anaglyph image, since this is a confusing shape. Getcher red'n'blue glasses, step right up!
The 'simplest' variant has not been subdivided in any way... it's a good starting point if you want to adjust the overall shape.
The 'skin' variant has been subdivided using the Doo Sabin remeshing option in TopMod, giving it a rounded, smooth look. It might make a very infuriating teapot, I suppose.
The 'bone' variant is the same as the 'skin', but with more visibility inside.
To get a good idea of what is going on inside, some of the pictures of the wireframe views of these Things are your best bet.
So this answers the question: Yes, we can make a Klein bottle.
EDIT: Added an anaglyph image, since this is a confusing shape. Getcher red'n'blue glasses, step right up!
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