I have been interested in topology for quite a while, but today was the first time I went beyond simple Möbius strips and did some really cool mathematical experiments! I made quite a lot of contraptions using only a pair of scissors, glue, and strips of paper. Presenting to you, the Möbius Showcase! - 1. Simple Möbius Strip Specifically, with 1 half-twist 2. Cutting a Möbius Strip in Half Surprisingly, this gives a new Möbius strip which is twice as long and has four half-twists/two twists. The photograph is a bit unclear. 3. Cutting a two-twist Möbius strip in half Another unexpected result: we now have two strips going through each other. \ 4. Cutting a three-twist Möbius strip We get a single loop with - get this - a knot! 5. Cutting a normal loop in half Pretty much what you'd expect 6. Cutting two normal loops which are at right angles in half Strangely, what we get is: a flat square (which makes...