Well you’re looking at it. If you think of the puzzle only tiling in one direction, the flip needed to move the piece from one side to the other is analogous to the twist in the Möbius strip. Because it works in two dimensions, you have a Klein bottle, much the same way a looping plane is isomorphic to a torus.
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I want to see a jigsaw puzzle that results in a mobius strip.
Well you’re looking at it. If you think of the puzzle only tiling in one direction, the flip needed to move the piece from one side to the other is analogous to the twist in the Möbius strip. Because it works in two dimensions, you have a Klein bottle, much the same way a looping plane is isomorphic to a torus.
Just take the Klein bottle one and change the shapes along the top and bottom (or left and right) edges so they no longer match up. Voila.