Lesson 4
In Euclidean algebra, all distance is measured in a "birds-eye view" way, and the euclidean distance formula, is used to calculate the distance between two points. However, in taxicab geometry, there is only a grid-pattern, so the birds-eye view distance isn't valid. The distance formula in taxicab becomes , which is just a sum of the coordinates. We can see the differences in the applet above.
Is the euclidean distance always less than the taxicab distance? When is it not less than the taxicab distance?