Closed Almost Knight’s Tours on 2D and 3D Chessboards

Let a (generalized) chessboard in two or three dimensions be given. A closed knight’s tour is defined as a Hamiltonian cycle over all cells of the chessboard where all moves are knight’s moves, i.,e. have length 5^0.5. It is well-characterized for which chessboard sizes it is not possible to construct a closed knight’s tour. On … Read more