MobiusBand

Q: Why did the chicken cross the Möbius band?
A: To get to the other ... oh.
The Möbius band or strip, named after August Ferdinand Möbius, a nineteenth century German mathematician, is a well-known mathematical shape. It is a surface with only one side and one edge.

It is easily made by taking a paper strip and making one half twist before gluing the ends.

Take two Mobius bands and glue the edge of one to the edge of the other - you get a Klein bottle.

Enrichment task

Predict the result of each of these experiments:

cut a Möbius band completely down the middle of the strip.
cut the result of the last experiment completely down the middle.
carefully cut completely a Möbius band one-third of the distance from the edge.
increase the number of twists and cut down the middle.

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Mobius Band

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