If you cut along the middle of a Mobius strip, you get...
1. You would cut air if t'was the *middle* OR 2. You would get a flat strip since you cut the strip and it now has truly defined edges, i.e. two surfaces OR 3. TWO mobius curves
He is the artist who did that work on the first page, here. He did some amazing woodcuts that play with perspective.
Escher reproductions used to be a given, along with one of those Mateus wine bottles made into a candle-holder and an avocado pit suspended in a festering bowl of water by three toothpicks, in any given college dorm room of a certain sort of freshman girl. With the right name-checks sexual congress was also a given. Allegedly!
If you can remember the Sixties you weren't there...
It is much easier to construct a Möbius strip and see all this for yourself, when "seeing is believing." Paper, glue and scissors is all you need.
There are all sorts of surprises lurking if you just take the time to experience them, such as the blind spot in our vision. For that one you just need one eye and a piece of paper with a dot on it.
Another fun thing is to play with is the logic of guessing what is behind "Door Number Three": Take three doors, One, Two and Three. Behind one of the three there is a bag of gold, behind another a goat. You guess "One" for example, when I then tell you that the goat is behind "Two." Does it pay to make a different guess for the bag of gold, now that you know that? (If you don't have ready access to a bag of gold and a goat you can play this game with three cups and two different objects.)