Inscribed square problemInscribed square problem
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What Wikipedia says
The inscribed square problem, also known as the square peg problem or the Toeplitz conjecture, is an unsolved question in geometry: Does every plane simple closed curve contain all four vertices of some square? This is true if the curve is convex or piecewise smooth and in other special cases.
Excerpt from the Wikipedia article “Inscribed square problem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia
Image: Claudio Rocchini, CC BY-SA 3.0, via Wikimedia Commons.
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