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Taxicab Geometry > General Information
This section of the website provides an introduction to taxicab geometry and investigates the basic features of the geometry.
- Definitions: Defines what taxicab geometry is and discusses its variations.
- History / Applications: Documents the origin and history of taxicab geometry including current research efforts. Real-world applications of taxicab geometry are also noted.
- The Basics: Illustrates how to use the taxicab distance formula, how to view distance conceptually, and how basic results differ from Euclidean geometry.
- Euclid's Axioms: Examines the validity of Euclid's axioms in taxicab geometry.
- Point to line distance: Explores the concept of the distance from a point to a line in taxicab geometry.
- Midset of two points: In Euclidean geometry, the midset of two points is the perpendicular bisector of the line segment connecting the points. As with many things, this is not so neat and tidy in taxicab geometry..