22 Übersetzungen
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- In contrast, the perimeter (relative to the taxicab metric) of the unit disk in the taxicab geometry is 8.
- For voxel rendering, a fast algorithm for calculating the SDF in taxicab geometry uses summed-area tables.
- This can also be interpreted as an isometric embedding from the graph into a 12-dimensional taxicab geometry. The 26-fullerene graph is one of only five fullerenes with such an embedding.
- An octahedron is a sphere in taxicab geometry, and a cube is a sphere in geometry using the Chebyshev distance.
- The octahedron in the three-dimensional integer lattice, whose number of lattice points is counted by the centered octahedral number, is a metric ball for three-dimensional taxicab geometry, a geometry in which distance is measured by the sum of the coordinatewise distances rather than by Euclidean distance.
- Taxicab distance depends on the rotation of the coordinate system, but does not depend on its reflection about a coordinate axis or its translation. Taxicab geometry satisfies all of Hilbert's axioms (a formalization of Euclidean geometry) except for the side-angle-side axiom, as two triangles with equally "long" two sides and an identical angle between them are typically not congruent unless the mentioned sides are parallel.
- The absolute difference is used to define other quantities including the relative difference, the L1 norm used in taxicab geometry, and graceful labelings in graph theory.
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