Summary
The Klein bottle is a two-dimensional manifold which cannot be consistently oriented, meaning that a system for determining a normal vector cannot be defined for it.
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It is an example of a non-orientable surface.
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Summary
In topology , a branch of mathematics , the Klein bottle ( / ˈ k l aɪ n / ) is an example of a non-orientable surface ; it is a two-dimensional manifold against which a system for determining a normal vector cannot be consistently defined
Klein bottle - Wikipedia
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Acme Klein Bottle makes and sells glass Klein Bottles. Come visit! ... bottle, I will compose a non-automated email, with the return address of kleinbottle ...
Acme Klein Bottle
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The Klein bottle is a closed nonorientable surface of Euler characteristic 0 (Dodson and ... Weisstein, Eric W. "Klein Bottle." From MathWorld --A Wolfram Web ...
Klein Bottle -- from Wolfram MathWorld
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The Klein bottle is a closed nonorientable surface of Euler characteristic 0 (Dodson and ... Weisstein, Eric W. "Klein Bottle." From MathWorld --A Wolfram Web ...
Handmade Glass Klein Bottle
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Klein bottle, topological space, named for the German mathematician Felix Klein, obtained by identifying two ends of a cylindrical surface in the direction ...
Klein bottle | topology | Britannica
britannica.com
Klein Bottles They cannot be deformed into each other.
Klein Bottle
virtualmathmuseum.org
A Klein bottle is a surface with a very strange property. A surface is any object that is locally 2-dimensional; every part looks like a piece of the plane. A ...
Klein Bottle – Math Fun Facts
hmc.edu
The Klein bottle is another unorientable surface. It can be constructed by gluing together the two ends of a cylindrical tube with a twist. Unfortunately this ...
The Klein Bottle
osu.edu