Chebyshev Distance

In mathematics, the Chebyshev distance, also called the Tchebychev distance, the maximum metric, or the L-infinity metric, is a metric defined on a real coordinate space in which the distance between two points is the greatest of the differences between their coordinates along any single dimension. It is named after the mathematician Pafnuty Chebyshev and is also known as the chessboard distance, because in chess the minimum number of moves a king needs to travel from one square to another on the board equals the Chebyshev distance between the centers of those squares when each square has side length one; for example, the Chebyshev distance between the squares f6 and e2 is four.