Monsky's theorem

In geometry, Monsky's theorem states that it is not possible to dissect a square into an odd number of triangles of equal area. In other words, a square does not have an odd equidissection.

The problem was posed by Fred Richman in the American Mathematical Monthly in 1967, after being solved for rational coordinates by John Thomas, and the solution was extended to all coordinates by Paul Monsky in 1970. For more on the history of the problem, see Equidissection#Monsky's_theorem.

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