6.+Taxicab+Geometry+Shapes

Shapes in taxicab geometry look different than they do in euclidean geometry. The reason being is because taxicab geometry makes the geometric shapes appear "irregular" because of the coordinate plane. There are no curved shapes because the grids are made up of of squares. Also, there cannot be a line going through a grid square. The lines of the shape have to go along the grid lines and keep true to the shape. Some of the typical euclidean shapes have some similarities with the taxicab shapes, like squares and rectangles. If a circle is drawn in taxicab geometry, the circle will resemble a square because it cannot have a curved shape.
 * Taxicab Shapes **

http://math.youngzones.org/Non-Egeometry/taxicab3.html