Taxicab Ellipse
This is the set of all points whose (Taxicab) distances from two other points (A and B), when summed, is constant. Use the slider to change the constant. The result is a taxicab Ellipse.
Drag the points A and B around. What happens?
In Euclidean Geometry, we can think of a circle as a case of an ellipse where the foci coincide (at the center). Does the same thing happen in Taxicab Geometry? Explain.
We saw that a taxicab circle is a Euclidean square. How could you classify a taxicab ellipse as a polygon?