Yoshiaki Yamaguchi

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Yoshiaki Yamaguchi,

a Japanese computer scientist affiliated with the University of Tokyo. His research interests includes solving Connect Four [1] on infinite [2] and cylinder-infinite boards.

Infinite Connect Four

Abstract of the Advances in Computer Games 13 paper [4]:

In this paper, we present the newly obtained solution for variants of Connect-Four played on an infinite board. We proved this result by introducing never-losing strategies for both players. The strategies consist of a combination of paving patterns, which are follow-up, follow-in-CUP, and a few others. By employing the strategies, both players can block their opponents to achieve the winning condition. This means that optimal play by both players leads to a draw in these games.
By rearrangement of the same paving patterns, the solution for a semi-infinite board, where either the height or the width is finite, are also presented. Moreover, it is confirmed that these results are effective under various placement restrictions. 

Selected Publications

[5]

References

  1. Connect Four from Wikipedia
  2. Infinite Board at Sensei’s Library
  3. ICGA Events 2015: Photos Day 5 by Jan Krabbenbos
  4. Yoshiaki Yamaguchi, Kazunori Yamaguchi, Tetsuro Tanaka, Tomoyuki Kaneko (2011). Infinite Connect-Four Is Solved: Draw. Advances in Computer Games 13
  5. dblp: Yoshiaki Yamaguchi

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