4th Kyū

Guide

Next, let's consider how to determine the Knight's legal moves. The Knight moves in an L-shaped pattern.

A Knight can move from one square to another only when the combination of file change and rank change is (1,2) or (2,1).

This means the Knight must move either two squares vertically and one square horizontally, or two squares horizontally and one square vertically. Expressed as a formula:

(file1file2,rank1rank2){(1,2),(2,1)}(|file_1 - file_2|, |rank_1 - rank_2|) \in \{(1,2), (2,1)\}

Unless restricted by the edge of the board, a Knight can move to 8 different squares from any given square. The 8 move directions are (+2,+1), (+2,-1), (-2,+1), (-2,-1), (+1,+2), (+1,-2), (-1,+2), (-1,-2).

The Knight has special properties that other pieces don't have. Knights can jump over other pieces, and they always land on a square of the opposite color to their starting square.