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You have a long strip of paper, one piece of tape, and some scissors. You must create two paper rings that are linked. The catch is that you must use the tape before touching the scissors, and you may not tear the tape or paper.

 See The Solution Submitted by Tristan Rating: 3.6000 (5 votes)

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 re: Solution | Comment 3 of 8 |
(In reply to Solution by Bractals)

Cutting the half twist ring gives a ring which if cut again gives two linked rings (which are both twisted).  It looks like a ring with n half twists when cut gives two rings when n is even (which are linked when n > 0), and gives one ring when n is odd. The rings produced by the cutting are at least as twisted as the original was before cutting. Somebody should be able to figure out and explain the twistedness of the rings produced by cutting  a ring with n half twists.
 Posted by Richard on 2005-08-31 07:35:02

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