Any movement (aside from the null move if you count that) has a direction; in the knight's case, as with oblique leapers in general, it happens to be between the usual ortho‐ and diagonals, but it's still a direction just as a dabbaba's or alfil's (2‐square leap ortho‐ resp. diagonally) leap. Hence also the nightrider, which makes multiple knight leaps in the same direction (e.g. from a1 to b3,c5,d7 or c2,e3,g4 on 8×8), and with which many readers will be familiar, hence the confusion over the knight's ‘path’.
Fwiw the queen diagram is cool, if a bit daunting‐looking at first
Any movement (aside from the null move if you count that) has a direction; in the knight's case, as with oblique leapers in general, it happens to be between the usual ortho‐ and diagonals, but it's still a direction just as a dabbaba's or alfil's (2‐square leap ortho‐ resp. diagonally) leap. Hence also the nightrider, which makes multiple knight leaps in the same direction (e.g. from a1 to b3,c5,d7 or c2,e3,g4 on 8×8), and with which many readers will be familiar, hence the confusion over the knight's ‘path’.
Fwiw the queen diagram is cool, if a bit daunting‐looking at first