Problem #WSP-000129

Problem

In chess, knights can move one square in one direction and two squares in a perpendicular direction. This is often seen as an ‘L’ shape on a regular chessboard. A closed knight’s tour is a path where the knight visits every square on the board exactly once, and can get to the first square from the last square.

This is a closed knight’s tour on a $6\times 6$ chessboard.

Can you draw a closed knight’s tour on a $4\times 4$ torus? That is, a $4\times 4$ square with both pairs of opposite sides identified in the same direction, like the diagram below.