# Topology for Rectangle Papers

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14. Make a Mà¶bius strip out of a rectangle of paper and cut it along its central circle. What is the result?

15. Cut a Mà¶bius strip along the circle which lies halfway between the boundary of the strip and the central circle. Do the same for the circle which lies one-third of the way in from the boundary. What are the resulting spaces?

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The expert examines topology for rectangle papers.

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14. Make a Möbius strip out of a rectangle of paper and cut it along its central circle. What is the result?

The result of cutting the Moebius strip along a horizontal line very much depends on the position of the line in the rectangle. If the selected line cuts through the middle of the square, we get a strip twice as narrow and twice as long as the original Moebius strip. To ascertain this note that the points A and A' are identical as are the points B and B'. ...

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