A closed -knight’s tour on some cylinder chessboards

Figures & data

Fig. 1 $G-S$ where the white vertices are in $S$.

Fig. 2 Two patterns of a closed $(2,3)$-knight’s tour on the $5\times n$ cylinder chessboard.

Fig. 3 Closed $(2,3)$-knight’s tours on the $5\times n$ where $n\le 5$.

Fig. 4 Illustrated closed $(2,3)$-knight’s tours on 15 × 6 and 20 × 6 cylinder chessboards.

Fig. 5 Closed (2, 3)-knight’s tours on the $9\times n$ cylinder chessboard where $n\in \{4,5,7,8,9,10,11\}$.

Fig. 6 Closed (2, 3)-knight’s tours on the $9\times n$ cylinder chessboard where $n\in \{12,13\}$.

Fig. 7 Illustrated closed (2, 3)-knight’s tours on the $27\times 4,27\times 5$ and 27 × 7 cylinder chessboards.