| 11. | The universal cover of both the torus and the Klein bottle is the plane "'R "'2.
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| 12. | If you cut the traditional Klein bottle lengthwise it deconstructs into two, oppositely chiral M�bius strips.
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| 13. | :I don't see how you could use a klein bottle as a horn or similar instrument.
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| 14. | "' Other 2D "'variants can also be performed with sphere, Klein bottle or real projective plane.
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| 15. | This relation holds, as Ringel and Youngs showed, for all surfaces except for the Klein bottle.
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| 16. | :A Klein bottle is a three-dimensional figure which requires an extra dimension to be comprehended fully.
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| 17. | :: A Klein bottle is a topological entity.
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| 18. | The traditional Klein bottle embedding is achiral.
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| 19. | Klein bottles are four-dimensional one-sided bodies which can only exist in three-dimensional space by intersecting with themselves.
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| 20. | Now let's take this to a three dimensional universe on some kind of a generalized klein bottle.
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