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2025-04-26 07:12:45

robinhouston on Nostr: Here's something interesting from last year that I didn't notice at the time: a set ...

Here's something interesting from last year that I didn't notice at the time: a set of 30 or more points in general position in the plane must always contain at least one ‘empty hexagon’ – a convex hexagon with vertices at six of the points that does not contain any other of the points.

This was proved with a clever SAT encoding and a lot of computer time.
https://arxiv.org/abs/2403.00737
Author Public Key
npub1wjc42kn5sa2pek0h5gfygwrs2s6r7cyr7l2mlpna529pkff97jzs97nda9