Knight Maze

What the knight maze trains

You are given a knight, a target square, and obstacles, and you have to get there in the fewest jumps. The knight is the piece that punishes lazy visualization, because its geometry contradicts intuition: a knight cannot reach an adjacent square in one move but can cross the board in four, and the square right next to it takes three jumps while a square two files away takes one. There is no diagonal or file to trace, so you cannot fake it, you have to actually compute.

The useful thing to memorise is the distance map from any square: most targets are three jumps or fewer, and a knight always changes square colour on every move, which means an even number of jumps lands on the starting colour and an odd number on the other. That parity check alone kills half the wrong answers before you calculate anything. Obstacles add the real difficulty, because the shortest route is often not the obvious one and you have to search a second branch instead of forcing the first. Build the underlying reflex with knight movement first, compare it against the far more intuitive bishop maze, and see where piece-path calculation fits in the blindfold chess guide.