Möbius Strip

Pronunciation: /moe bi əs strɪp/ ?
A strip of paper with one end rotated 180 degrees and the two ends taped together.
Figure 1: Möbius strip. From http://en.wikipedia.org/wiki/Image:M%C3%B6bius_strip.jpg

A möbius strip is a 3-dimensional geometric figure with one side and one edge.[1] Möbius strip is also spelled 'moebius strip'. It is constructed with a single strip of paper. The two ends of the strip are attached, but one is twisted 180°. If one cuts a möbius strip completely in the middle, it does not make two pieces. The möbius strip was discovered by Ferdinand Möbius (German 1790-1868) in 1858.

Figure 2 shows a illustration for a möbius strip by M. C. Escher (1898-1972). It illustrates the concept that an ant placed on the side of a möbius strip can crawl around it without leaving the one side.

To build your own möbius strip, print out a copy of this net of a möbius strip and follow the directions.

More Information

  • McAdams, David. Net of a Möbius Strip. allmathwords.org. Life is a Story Problem LLC. 2009-03-12.

Cite this article as:

Möbius Strip. 2009-12-18. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/m/mobiusstrip.html.


Image Credits

Revision History

2009-12-18: Added "References" (McAdams, David.)
2008-09-17: Initial version (McAdams, David.)

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