The 3× 3 Solution to the Game of Tak

Q: What type of study is this?

This is a Quantitative Study study.

Joseph E. Marrow

doi:10.48550/arxiv.2509.05844

September 6, 2025Open Access

The 3× 3 Solution to the Game of Tak

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Key Points

Player 1 has a guaranteed win in the 3x3 tak game from any initial configuration, including random setups.
The study addresses previous gaps in analysis of the 3x3 tak game, providing clarity on winning strategies.
We present visual diagrams to enhance comprehension of both this and Achiam's solutions to the game.
The findings indicate significant strategic depth in tak, suggesting potential avenues for future game exploration.

Implication

Analysis reveals Player 1 has a forced win in the 3x3 tak game from any starting position, highlighting strategic possibilities.

Abstract

We provide answers to natural combinatorial questions which arise from learning the rules to Tak. We solve the discarded cases of the 3× 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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Cite This Study

Joseph E. Marrow (2025) studied this question.

synapsesocial.com/papers/68ebffcfdef9fcb308ff24fb https://doi.org/10.48550/arxiv.2509.05844

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The 3× 3 Solution to the Game of Tak

Key Points

Implication

Abstract

Discussion

Cite This Study

The 3× 3 Solution to the Game of Tak

Key Points

Implication

Abstract

Discussion

Cite This Study

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