I'm gonna say no.pic.twitter.com/tbHWhTmkyG
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And there is a video of @3blue1brown about it! :D
Can you give me a link to it?
The proof of this theorem is trivial and is left as an exercise to the reader.
Search for this on YouTube- the proof for inscribed rectangles uses mobius bands and is really elegant. Also found a bachelor's thesis (!!) online giving a more rigorous proof. Squares is harder! Cool stuff, possibly not that useful though!! 
One of the best math videos ever made explains the proof of the variant where "square" is replaced by "rectangle": https://www.youtube.com/watch?v=AmgkSdhK4K8 … (by @3blue1brown )
This is beautiful. I am missing the drift on unordered points section though. Will have to revisit :)
Waiiiit, what’s the square for an ellipse? I can’t imagine one 
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