The argument doesn't depend on n. So if the final conclusion is not possible, an earlier assumption must fail.
If n=4, you won't find four pairs with different common parity type and same midpoint.
Maybe it's time to consider the four-coloring induced by parity types: take a chessboard pattern, and in each other row, replace black and white by red and blue.
Tian
npub1lq…ptgt7
2024-09-15 09:43:08 UTC
in reply to nevent1q…ngn2
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