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This is a short survey article on the 102 years old Square Peg Problem of Toeplitz, which is also called the Inscribed Square Problem. It asks whether every continuous simple closed curve in the plane contains the four vertices of a square. This article rst appeared in a more compact form in Notices Amer. Math. Soc. 61(4), 2014.
Benjamin Matschke (Tue,) studied this question.
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