Snaky -- Frank Harary was right

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Ed Pegg

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Oct 8, 2026, 6:17:16 PM (2 days ago) Oct 8
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SNAKY -- The game.  Frank Harary's generalized tic-tac-toe game appeared in Martin Gardner's "Mathematical Games" column in April 1979. The breaker has to prevent the maker from making a snaky shape. Frank conjectured that the Maker has a win on the 15x15 board. 
⬛⬛⬜⬜⬜ ◼︎◼︎◻︎◻︎◻︎
⬜⬛⬛⬛⬛ ◻︎◼︎◼︎◼︎◼︎
This is part of a large proof by Trevor Morris, OpenAI and Claude. There's probably a sequence from this based on maximal remaining cards on move n. 
https://snaky.gotrevor.org/   is a playable version of the program.  



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