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

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.