Manhattan distance

English 2026 January 2 thumb|On this grid, the green line shows the diagonal straight-line distance between the two black points, while the red, blue, and yellow lines indicate equivalent Manhattan distances. Etymology From en Manhattan distance 1 exocentric, referring to the gridlike street geography of the borough of Manhattan in New York City, New York, United States. Pronunciation en /mænˌhætn̩ ˈdɪst(ə)n(t)s/ RP en /mænˌhætn̩ ˈdɪst(ə)n(t)s/ /mən-/ GA en LL-Q1860 (eng)-Naomi Persephone Amethyst (NaomiAmethyst)-Manhattan distance.wav GA /mænˌhætn̩ ˈdɪstəns/ en ɪstəns 5 en Man hat tan dis tance Noun ~ en geometry en taxicab distance the distance between two points on a grid, where the only path allowed is along horizontal and vertical lines. from late 1970s en blockwise distance city block distance taxi distance Translations synonym of taxicab distance taxicab distance See also en Cartesian distance, en Euclidean distance distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points en Chebyshev distance, en chessboard distance metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension Further reading taxicab geometry n 4298231573 September 2025 n en noun-noun compound nouns terms derived from toponyms