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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".

For more information about the topic Möbius strip, read the full article at Wikipedia.org, or see the following related articles:

Note: This page refers to an article that is licensed under the GNU Free Documentation License. It uses material from the article Möbius strip at Wikipedia.org. See the Wikipedia copyright page for more details.

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