A Möbius strip is a one-dimensional object you can create in your own home. You do this by taking a long strip of paper, creating a loop, and twisting one end over 180° before connecting the ends. "But that creates a 3-dimensional object I can see and hold," you might say. WRONG! There is only one side, and only one edge. But that is only where the strangeness begins. Observe what happens when you cut a Möbius strip...
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From @jacobtothe