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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(4): Part I - notation | Comment 7 of 21 |
(In reply to re(3): Part I - notation by Richard)

This really is not an elementary problem, Richard.

Paul Monsky's solution1, in his own words, "is the only known approach, and it uses valuation theory, and the theorem of the extension of valuations--a mathematician will probably encounter these for the first time as a graduate student."

1American Mathematical Monthly 77:2(February 1970, 161-164)

  Posted by Mindrod on 2006-02-04 20:14:26
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