High Quality Content by WIKIPEDIA articles! The Erdos–Nagy theorem is a result in discrete geometry about making a non-convex simple polygon into a convex by a finite sequence of flips. The flips are defined by taking a convex hull of a polygon and reflecting a pocket with respect to the boundary edge. It is named after mathematicians Paul Erdos and Bela Szokefalvi-Nagy.Paul Erdos conjectured the result in 1935 as a problem in the American Mathematical Monthly, and Szokefalvi-Nagy published a proof in 1939. The problem has a curious history and had been repeatedly rediscovered, until Branko Grunbaum surveyed the results in 1995. As it turns out, the original proof had a delicate mistake, which has been since corrected.

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