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How do you get the Klein Bottle from two Möbius Strips?

  1. Mar 9, 2009 #1

    quasar987

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    ...as in the little poem

    A mathematician named Klein
    Thought the Möbius band was divine.
    Said he: "If you glue
    The edges of two,
    You'll get a weird bottle like mine.

    That can be found in the wiki page about the Klein bottle: http://en.wikipedia.org/wiki/Klein_bottle#Properties.

    I don't get it.
     
  2. jcsd
  3. Mar 9, 2009 #2

    quasar987

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  4. Mar 10, 2009 #3

    HallsofIvy

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    That's NOT two Möbius bands. That is gluing the edges of one Möbius band together.
     
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