As far as my understanding goes, taxicab geometry uses the lines of the coordinate plane to calculate distances. How does it affect the calculations when a point is not exactly on the intersection of the grid (like (1,2) or (4,5), and is instead somewhere in the middle? (1.5,3.2)?
2026-03-26 06:33:52.1774506832
Taxicab geometry distance calculations
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You should treat it the same, as far as I know. For example: if we want to find the $l_1$ (or taxicab) distance from $A=(1.2, 3.5)$ to $B=(4.1, 5.7)$, then
$d(A, B)=|4.1-1.2|+|5.7-3.5|=2.9+2.2=5.1$.