In this system of geometry, ellipses whose foci have di erent x- and y- coordinates are shaped like Euclidean octagons.
This system of geometry's distance metric can be combined with the Eu- clidean metric to de ne the akritean distance. The two-dimensional version of this system of geometry is equivalent through rotation and scaling to that de-  ned through Chebyshev distance. In this system of geometry, ellipses whose foci have di erent x- and y- coordinates are shaped like Euclidean octagons. Spheres in this system of geometry are shaped like Euclidean octahedra, while circles are shaped like rotated Euclidean   squares. For ten points, identify this system of geometry in which the distance between two points is the sum of the absolute di erences of their coordinates.
This system of geometry's distance metric can be combined with the Eu- clidean metric to de ne the akritean distance.
taxicab geometry [accept Manhattan geometry, snake geometry, l1 geometry, rectilinear geometry, or city block geometry]