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this is lesson 602 taxicab geometry taxi cab geometry is very similar to euclidean coordinate geometry because the points lines angles are all the same and theyre measured in the same way what is different is the notion of distance in euclidean coordinate geometry distance is thought of as the way the crow flies a straight line in taxi cab geometry distance is thought of as a path a taxi cab would take so the black path from point a to z is the euclidean distance from a to z and were used to solving that with the pythagorean theorem the red path is the taxicab distance from a to z there is only one euclidean path from a to z but there are multiple taxicab paths from a to z and you can see those differences right here this is like a staircase distance you can imagine driving through a city you know these right here are blocks you know the roads dont cut straight through from a to z and here its probably a bunch of one-way streets same thing here he had to go around this big block t