Maybe this'll help: Every bunch of points on a plane has a lonely bridge. A lonely bridge is a line connecting only two points, no more. Obvious caveat: The po

Maybe this'll help: Every bunch of points on a plane has a lonely bridge. A lonely bridge is a line connecting only two points, no more. Obvious caveat: The points can't all lie in the same line (the collinear condition). Not-so-obvious caveat: There can't be an infinite number of points.