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200단어/분-- The Mobius Band

리첫 2009. 5. 14. 18:08

Take any long piece of paper. Now glue the ends of the paper together. You have made a ring.

 

Take a second long piece of paper. Twist the paper once and glue the ends together. Now you have made a Mobius band. For people who study math, this band is special.

 

This strange band was first made in the 1800s by a German man named August Mobius. Mr. Mobius studied math. He wanted to find a way to prove how this band works with math. Believe or not, this band has only one surface. You can find this out for yourself.

 

If you draw a line on the surface of the paper before you twist and glue it, the line is only on one side of the paper. The paper has two surfaces. However, if you darw a line after you make the Mobius band, you can follow the line around all sides of the paper. In other words, the Mobius band must have only one surface.

 

It is also kind of fun to see what happens when you cut the band. If you cut the Mobius band in half once down the line you drew, you do not get two Mobius bands. Istead, after you cut the band, it turns into one large twisted ring. Then, if you cut this ring in half along the middle of the band again, you get two connected Mobius bands. (240 words)

 

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