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 re: Detailed Solution by Charlie)

Is there a fourth point uncovered, besides

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

for the right-angled tetrahedron Richard presented?

Posted by Charlie on 2005-02-08 15:03:26