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by alex-g 4430 days ago
Sperner's Lemma is probably my favorite mathematical result. It is easy to explain, and pretty easy to prove, but it has a higher than average number of "aha" moments along the way. The mathematics is not too intimidating - probably the scariest thing is the generalization to n dimensions, which requires induction. It is also fun to explain the connections to Nash's theorem and so on, as invoked in this article.