tag:blogger.com,1999:blog-4459360717297142573.post1080862030224430085..comments2024-03-27T20:44:56.139+11:00Comments on chessexpress: Knight ToursShaun Presshttp://www.blogger.com/profile/00897215011002594039noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-4459360717297142573.post-17278580217598896942020-05-20T15:26:13.366+10:002020-05-20T15:26:13.366+10:00Yes, that is part of the reasoning. According to t...Yes, that is part of the reasoning. According to the Wikipedia page, any rectangular board (not just square), does not have a closed tour if both sides have odd number lengths, or if 1 side is 1,2 or 4 squares in length, or the boards are either 3x4, 3x6 or 3x8.<br />Shaun Presshttps://www.blogger.com/profile/00897215011002594039noreply@blogger.comtag:blogger.com,1999:blog-4459360717297142573.post-80712505298349844142020-05-20T11:18:09.174+10:002020-05-20T11:18:09.174+10:00Re the 7x7 board, I would think there is never a c...Re the 7x7 board, I would think there is never a closed tour on an odd number of squares because the Knight always moves to the opposite colour, so it starts and finishes on the same colour which can't be a knight move apart. (This might be less obvious when just using a grid without colouring the squares.)Ian Routnoreply@blogger.com