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# Science Fair Project Encyclopedia

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# Chessboard distance

Chessboard distance is a metric that can be used to measure distances. This metric assumes that you can make moves, for example on a pixel grid (digital image), as if you were a King making moves in chess, i.e. a diagonal move counts the same as a horizontal move.

This means that the metric is given by

$D_{Chess} = max \left ( \left | \left ( x_2 - x_1 \right) \right | , \left | \left ( y_2 - y_1 \right ) \right | \right )$