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.
| Q: Why did the chicken cross the Möbius band? |
A: To get to the other ... oh.
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.
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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