Can you figure out why 3 knights on a chess board can't mutually attack one another?
I recently read a paper that gave a somewhat complicated proof of this. If you look at it the right way, it is really fairly easy to show. If you place 3 knights on a chess board, it is not possible for 1 and 2, 2 and 3 and 1 and 3 to all be positioned so as to be able to capture one another. Can you show why?
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