[#]mathematics #geometry #cafés
There was a claim that a circle on a curved surface will always conain the vertices of a square that lie in one plane.
Differently put: You can always rotate a square table to find a position where it doesn't wobble.
There was a paper, I think — unfortunately I don't remember where I read it, nor whether it confirmed or refuted the claim.
I've done a couple of tests in cafeś — in case you see someone sitting at a diagonally rotated table in a café in Berlin.
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[#]mathematics #geometry #cafés
Thank you @screw_dog for pointing to the paper — and good to see that the rotating-table theorem was actually proven, not refuted:
https://ar5iv.org/html/math/0511490
Knowing this, I will now rotate tables in the street cafés of Berlin with pride and confidence.
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