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Written by Jacob Something on 2024-12-11 at 13:55

[#]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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Toot

Written by Jacob Something on 2024-12-11 at 15:10

[#]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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