Introduction Assumptions Distance Euclidian or Not? Conic Sections Applications Beyond Taxicabs Resources Contact References	What is Taxicab Geometry? Relatively unexamined by the general public, yet encountered by everyone every day, Taxicab Geometry a world beyond Euclidian Geometry that models the streets of an ideal city and has broad uses in real-life situations. While it maintains many fundamental concepts of the geometry everyone is accustomed to (think squares and circles), taxicab geometry differs in a few key areas. What is the difference? Taxicab geometry is a field of geometry that differs greatly from the Euclidean geometry that most of us are used to. In taxicab geometry the only way that you can move between two points is to move in a horizontal or vertical straight line or turn at a right angle. Think of a taxicab driver on a city grid. The driver can only follow the streets. He must either go straight or turn left or right (at a right angle.) This is how taxicab geometry got its name, and it differs from Euclidean geometry in that in Euclidean geometry you connect any two points with a straight line. An example of the distance concept can be shown through the figure. The green line represents the shortest distance between start and finish. However, this is only true in Euclidian geometry, whereas in Taxicab Geometry, any of the other colored lines would share the honor of being the shortest in distance from the two points. In order to fully understand the concept, it is necessary to change the paradigms and perceptions widely known in geometry. This is because the usual metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the (absolute) differences of their coordinates. For more information, continue on to an exploration of taxicab distances, or to a proof against Euclid's fundamental axioms. Then, Consider the many applications this geometry has upon the community outside of mathematics.