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Möbius strip

The Möbius strip or Möbius band is a surface with only one side and only one boundary component.

It has the mathematical property of being non-orientable.

It is also a ruled surface.

It was co-discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.

A model can easily be created by taking a paper strip and giving it a half-twist, and then merging the ends of the strip together to form a single strip.

In Euclidean space there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise.

The Möbius strip is therefore chiral, which is to say that it is "handed".

Note:   The above text is excerpted from the Wikipedia article "Möbius strip", which has been released under the GNU Free Documentation License.
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October 4, 2015

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