# Cartesian and Polar Coordinates

1. Oct 19, 2004

### Poweranimals

What are the differences in the "uniqueness" of the representations in Cartesian coordinates and in polar coordinates?

2. Oct 19, 2004

### robphy

Do you mean this?

Distinct rectangular coordinates map to distinct points.
However, distinct polar coordinates don't always map to distinct points.
For example, $$(r = 0, \theta=0)$$ and $$(r = 0, \theta=\pi/3)$$ map to the same point.