{"id":"openai-math/Snaky-in-21-Maker-moves","pdf":"https://github.com/openai/math/blob/main/preprints/Snaky-in-21-Maker-moves-September-25-2026/article.pdf","url":"https://github.com/openai/math/tree/main/preprints/Snaky-in-21-Maker-moves-September-25-2026","tags":["combinatorial-games","positional-games","maker-breaker","polyominoes"],"score":0,"title":"Snaky in 21 Maker moves","domain":"Combinatorics","family":"187","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CO","summary":"We prove that Maker can achieve the Snaky hexomino within 21 actual Maker moves against arbitrary legal Breaker play on the initially empty infinite square board. The same bound holds on a $`17\\times17`$ square; in fact, Maker can confine its claims to a fixed 251-cell board.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-25","reactions":{},"formalized":false,"family_title":"Snaky in 21 Maker moves"}