TAXICAB GEOMETRY
by
Susan Sexton
Foundations of
Geometry I Project
University of
Georgia
Fall 2006
Instructor: Clint
McCrory
Assumptions of
Taxicab Geometry
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.
á
the horizontal and vertical lines of the grid represents streets
á
points can only be located at grid intersections
á
numerical coordinates will always be integers
á
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.
