Perfect Play in Miniature Othello

摘要

In 1993, J. Feinstein reported that a perfect play on 6x6 board of Othello gives a 16-20 win for the second player. His result does not remain as a paper, since he reported it on the Newsletter of the British Othello Federation. In our previous paper, we found out a perfect play different from the Feinstein. They have the same score, but it will not be a proof of the Feinstein is a perfect play. In this paper, we confirm that the sequence reported by Feinstein is one of the perfect plays. In addition, we introduce one of perfect plays in each boards of 4x4, 4x6, 4x8 and 4x10. From these results, we discuss the feature of the Othello larger than or equal to 8x8 board.