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Klein bottle

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Klein bottle [′klīn ‚bäd·əl]
(mathematics)
The nonorientable surface having only one side with no inside or outside; it resembles a bottle pulled into itself.
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From planes they move to spheres, folded patterns, Escher-like patterns and Klein bottles.
The symmetries of things by SciTech Book News
For its part, the Klein bottle (which as Rosen observes, represents "swallowing the serpent") brings back the discontinuity, in that it cannot be constructed (in three dimensions) without the hole that lets it pass through itself--but the hole makes it topologically imperfect.
Dimensions of Apeiron by Stein, Dave / Frontier Perspectives
Readers learn what monsters, moonshine, and 24-dimensional oranges have in common, how one infinity can be larger than another, and why you can't drink from a Klein bottle.
The Universal Book of Mathematics: From Abracadabra to Zeno's ... by Science News
 
 
 
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