C.a.R. is not a 3D program. But with the help of some macros, it is quite possible to create three dimensional construction. This examples was generated with a "factory", projecting points from 2D to the surface of a ball. Have a look to the applications for more information and examples of these factories.
The hidden surfaces are done with conditional formatting. If the polygons have a negative orientation, their appearance is changed and they are drawn in the background.