Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 187-01. Snaky in 21 Maker moves

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OpenAI@2026-10-07#rem:oai-p-187-01

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Authors: OpenAI. Family 187.

Title: Snaky in 21 Maker moves.

Abstract: 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.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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