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Summary Of: Taxicab geometry

Taxicab geometry satisfies all of... when the resolution of the Taxicab geometry is made larger...

Encyclodia Page On: Taxicab geometry

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Manhattan distance versus Euclidean distance: The red, blue, and yellow lines have the same length (12) in both Euclidean and taxicab geometry. In Euclidean geometry, the green line has length 6×√2 ≈ 8.48, and is the unique shortest path. In taxicab geometry, the green line's length is still 12, making it no shorter than any other path shown. | | Hermann Minkowski | geometry | metric | Euclidean geometry | distance | Lp space | grid layout of most streets | Manhattan | Euclidean space | Cartesian coordinate system | line segment | coordinate axes | plane | rotation | reflection | translation | Hilbert's axioms | side-angle-side axiom | Circles in discrete and continuous taxicab geometry | | circle | radius | squares | Euclidean metric | Cartesian coordinates | polar coordinates | Chebyshev distance | L∞ metric | injective metric space | chess | chessboard | rooks | kings | queens | Chebyshev distance | bishops | Normed vector space | Metric | Orthogonal convex hull | Hamming distance | ISBN 0-486-25202-7 | PlanetMath | Eric W. Weisstein | MathWorld | Categories | Digital geometry | Metric geometry | Chess and mathematics | Norms (mathematics) |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Taxicab geometry".