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Things we must assume...
Taxicab geometry is very similar to Euclidean coordinate geometry. However it is meant to act as a better model of urban geography than Euclidean coordinate geometry. Nonetheless, taxicab geometry is an idealized model, so there are some basic assumptions that simplify working with this geometry.

1. The horizontal and vertical lines of the grid represents streets
2. Points can only be located at grid intersections
3. Numerical coordinates will always be integers
4. The taxicab distance between two points is the smallest number of grid units that an imaginary taxi must travel to get from one point to the other. This is sometimes also called the Manhattan Distance.
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