One of the most famous surfaces in mathematics, The Mobius Strip
can be constructed by cutting a long strip of paper, putting a half
twist in it, and gluing the ends of the strip together. What makes this
seemingly ordinary construct so fascinating is that, while the original
strip of paper clearly had two sides, the Möbius strip seems to have
only one. Try to draw a line on both “sides” without picking up your
pencil. It’s actually quite simple.
Then you take some scissors to it… and it gets even more interesting!
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