Inscribed square problem
Unsolved problem about inscribing a square in a Jordan curve
Inscribed square problem
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. The problem was proposed by Otto Toeplitz in 1911. Some early positive results were obtained by Arnold Emch and Lev Schnirelmann. The general case remains open.
Read on Wikipedia · Image Claudio Rocchini, CC BY-SA 3.0
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