Assertion: manhattan distance | /r/HasProperty | oriented at an angle of π/4
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text: The two dimensional Manhattan distance has "circles" i.e. level sets in the form of squares, with sides of length √2r, oriented at an angle of π/4 (45°) to the coordinate axes, so the planar Chebyshev distance can be viewed as equivalent by rotation and scaling to (i.e. a linear transformation of) the planar Manhattan distance.