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Square of Triangles (Posted on 2006-02-04) Difficulty: 4 of 5
Given a partition of a square into n triangles of equal area, prove that n is even.

No Solution Yet Submitted by Josh70679    
Rating: 2.0000 (2 votes)

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re(7): Part I - notation | Comment 14 of 21 |
(In reply to re(6): Part I - notation by Mindrod)

This dialogue has been informative and therefore was worthwhile.  Also, I now understand what you were getting at, which I certainly didn't to begin with. Please forgive me for being a bit sharp with you earlier.

I hope we will yet see a rigorous proof that n=3 is impossible, and maybe the same for n=5 or a higher odd number. Josh70679 has admitted that he has no proof that n must be even.  Also nobody has shown how to meet the condition with a general even n.
  Posted by Richard on 2006-02-05 14:17:38

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