Amazing mathematics - Möbius Strip

This time I give you an example of topology. Intuitively, two spaces are topologically equivalent if one can be deformed into the other without cutting or gluing. A traditional joke is that a topologist can't tell the coffee mug out of which she is drinking from the doughnut she is eating, since a sufficiently pliable doughnut could be reshaped to the form of a coffee cup by creating a dimple and progressively enlarging it, while shrinking the hole into a handle.
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.
Here are some examples of the amazing properties this surface holds. You can easily try the experiments yourself.

No Magic At All: Mobius Strip - The funniest home videos are here