Mobius Strip
| Brandon was playing with my mom's adding machine on Saturday and it somehow got stuck, continuing to spew out tape for several seconds. After getting it stopped I demonstrated how you could use the tape to create a mobius strip by giving one end a half twist and then taping the ends together. Then I demonstrated what happens when you cut a mobius strip down its center line, only the result was not what I'd expected. What was it? |  |
It was a single loop of paper with a double-twist. This strip is not a mobius strip, because if you start marking one side and follow the whole loop around, you only mark one side. Intrigued by this result, I cut the resulting strip down its center line. Again, the result was unexpected. It was two of the double-twisted loops linked together!
I haven't tried it yet, but Wikipedia says that if you cut a mobius strip down a line one-third of its width, you get two linked loops: one a mobius strip, and the other a double-twisted loop.
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sirvalence) wrote,
