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Is it possible for the segments of the broken line to have self-intersections?

Posted by Amethyst2007 at 2007-10-02 10:35:40 on Problem 3409 
Also, does the following situation count as a closed broken line?

1 - 2
1 - 3
2 - 3
1 - 4
2 - 4
3 - 4

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