August 15th, 2003, 7:06 am
Well, since you said they are drawn on a plane, I can rule out any 3 dimensional structure, unless the plane is topological deformation of the plane, in which case you also need to specify that the straight line must lie in the plane.They must be in a straight line, obviously, as each white can only be connected to blacks via a straight line. If there were a 2-dimensional structure, it would inevitable allow the construction of another straight line, connecting a white one with another white one, or a black one with another black one.