Construct a Mbius strip (see Problem 54). Mark a point A on the strip. Draw an arc

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Construct a Möbius strip (see Problem 54). Mark a point A on the strip. Draw an arc from A around the strip until you return to the point A. Do you think you could connect any two points on the sheet of paper without lifting your pencil?

Data from Problem 54

About a century ago, August Möbius made the discovery that, if you take a strip of paper (see Figure 9.19), give it a single half-twist, and paste the ends together, you will have a piece of paper with only one side! Construct a Möbius strip, and verify that it has only one side. How many edges does it have?

Figure 9.19

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