Taxicab Geometry
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Taxicab Geometry

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High Quality Content by WIKIPEDIA articles! Taxicab geometry, considered by Hermann Minkowski in the 19th century, is a form of geometry in which the usual metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the (absolute) differences of their coordinates. The taxicab metric is also known as rectilinear distance, L1 distance or ell1 norm, city block distance, Manhattan distance, or Manhattan length, with corresponding variations in the name of the geometry. The latter names allude to the grid layout of most streets on the island of Ma...