The Mobius Strip


I always find this a bit weird:

The Möbius strip is a surface with only one side and only one boundary. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.

The Möbius strip has several curious properties. A model of a Möbius strip can be constructed by joining the ends of a strip of paper with a single half-twist. A line drawn starting from the seam down the middle will meet back at the seam but at the "other side". If continued the line will meet the starting point and will be double the length of the original strip of paper. This single continuous curve demonstrates that the Möbius strip has only one boundary.

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