Second player’s cannot-lose strategy for Cylinder-Infinite-Connect-Four with circumference 11

Article type: Research Article

Authors: Yamaguchi, Yoshiaki^{; *}

Affiliations: SucSeed Co., Ltd., 1-9-22, Kamiuma, Setagaya-ku, Tokyo, Japan

Correspondence: [*] Corresponding author. E-mail: yamaguchi@sucseed.jp.

Abstract: Cylinder-Infinite-Connect-Four is Connect-Four played on a cylindrical square grid board with infinite row heights and columns that cycle about its width. In previous work, the first player’s cannot-lose strategies were discovered for all circumferences, and the second player’s cannot-lose strategies were discovered for all circumferences except for 6 and 11. In this paper, we show the second player’s cannot-lose strategy for circumference 11.

Keywords: Cylinder-Infinite-Connect-Four, paving strategy

DOI: 10.3233/ICG-230215

Journal: ICGA Journal, vol. 44, no. 3, pp. 91-94, 2022