This is the question on Futility Closet

Is there really no answer?

**Answer**

According to Wikipedia (inscribed square problem), this is an open problem – that is, we don’t currently know the answer. It’s known to be true for “nice enough” curves (Stromquist’s Theorem).

So it *is* true for e.g. all piecewise smooth curves, which are the kind we tend to imagine. Stromquist more generally implies an affirmative answer for curves that are piecewise *graphs* (as in y=f(x)) *of continuous functions*. Also see this page for further discussion.

**Attribution***Source : Link , Question Author : yiyi , Answer Author :
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