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Math Puzzles of the Month: November 2001
Connected Loops

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In November we challenged you to find a way to tie the three loops of string together so that untying any one of them causes the other two to be disconnected.

Can you tie three loops of string together in such a way that they are all connected, so that if you pick up one loop, the others will come with it? Here's one way.

  Loops

If you now untie the blue string, the green and red loops are no longer connected.

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But, if you untie the red string instead of the blue one, the other two loops remain attached.

  Loops

Similarly, if you untie the green string, the red and blue loops remain connected to each other.

  Loops

The Challenge
Can you find a way to tie the three loops together so that untying any one of them causes the other two to be disconnected?

Compare Your Results To Our Solution

 

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