Take any four points in space. Draw all lines connecting pairs of them. Then draw all lines connecting pairs of points on those lines.

Can the resulting set of points cover all of space?

(In reply to Detailed Solution by Richard)

On this chosen tetrahedron, what would be the two points that would produce a line to any of these:

(1/2,-1/2, 1/2)
(-1/2,1/2, 1/2)
(1/2,1/2, -1/2)

 

Posted by Charlie on 2005-02-06 20:13:16