The $3\times 3$ Solution to the Game of Tak

Joseph E. Marrow

公開日: 2025/9/6

Abstract

We provide answers to natural combinatorial questions which arise from learning the rules to Tak. We solve the discarded cases of the $3\times 3$ game not previously considered by Joshua Achiam, showing that Player $1$ has a forced win from any starting position, including random ones. Diagrams for both his and our solutions are provided in the hopes of making the results more accessible.

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