Monsky's theorem
One can't dissect a square into an odd number of triangles of equal area / From Wikipedia, the free encyclopedia
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In geometry, Monsky's theorem states that it is not possible to dissect a square into an odd number of triangles of equal area.[1] In other words, a square does not have an odd equidissection.
The problem was posed by Fred Richman in the American Mathematical Monthly in 1965 and was proved by Paul Monsky in 1970.[2][3][4]