I'd appreciate it if after this puzzle is 'done' we continue.

http://img354.imageshack.us/my.php?image=puzzle14qd.gif

Draw a line from A to XY&Z, B to XY&Z and C to XY&Z without any of the lines intersecting.

Which means you can't overlap and say 'it works in 3D'.

Go.

Also, if you claim it's not possible, provide proof :)