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Möbius Strip -- from Wolfram MathWorld
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Description:C1 , however, then the theorem of Nash-Kuiper shows that no lower bound exists. This folded strip, three times as long as it is wide, would be long enough to then join at the ends. This method works in principle, but becomes impractical after sufficiently many folds, if paper is used. Using normal paper, this construction can be folded flat , with all the layers of the paper in a single plane, but mathematically, whether this is possible without stretching the surface of the rectangle is not clear. It is a standard example of a surface that is not orientable. Take a rectangular strip.
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