Chebyshev Distance

• $D(x,y)=ma{x}_i(|x_i-y_i|)$
• greatest of difference between two vectors along any coordinate dimension
• simply the maximum distance along one axis.
• Chessboard distance since the minimum number of moves needed by a king to go from one square to another is equal to Chebyshev distance
• can be used to extract the minimum number of moves needed to go from one square to another
• warehouse logistics as it closely resembles the time an overhead crane takes to move an object