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Moebus strip

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This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. This article has been viewed 97, times. Learn more The magic circle, or Mobius strip, named after a German mathematician, is a loop with only one surface and no boundaries. If an ant were to crawl along the surface of the Mobius strip, it would walk along both the bottom and the top in an infinite loop. You can easily construct and experiment with a Mobius strip using paper, scissors, tape, and a pencil.
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Mobius strip

Moebus strip
Moebus strip
Moebus strip
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Möbius Strip | Definition of Möbius Strip by Merriam-Webster

It can be made using a strip of paper by gluing the two ends together with a half-twist. The Mobius strip is known for its unusual properties. A bug crawling along the center line of the loop would go around twice before coming back to its starting point. The parameter u runs around the strip while v moves from one edge to the other. It is a standard example of a surface which is not orientable. Such belts last longer because the entire surface area of the belt gets the same amount of wear. There, they allow the ribbon to be twice as wide as the print head while using both half-edges evenly.
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Mobius Strip

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. Reference Terms. It has the mathematical property of being non-orientable. It is also a ruled surface. Related Stories.
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A typical thought experiment to demonstrate how the three-dimensional strip operates involves imagining an ant on an adventure. One apparent loop would land the ant not where it started but upside down, only halfway through a full circuit. After two loops, the ant would be back at the beginning—but dizzy.
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