Taxicab geometry equips Euclidean coordinate space with the distance induced by the L1 norm, so the distance between two points is the sum of their coordinatewise absolute differences.
Taxicab geometry, also known as Manhattan geometry, is a form of geometry in which the distance between two points is calculated differently from the traditional Euclidean geometry. In Taxicab geometry, the distance between two points is the sum of the absolute differences of their coordinates, rather than the straight-line distance.
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