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?

After reading all the postings three times and the problem ten times, I still don't get it.  Could somebody please help me out on this:
- On Richards tetrahedron, which points produce the line through (1,1,1)?
- And through (x,y,z) where x and y and z are all > 1?

If coördinates are possible, please use those, that way I might be able to understand it.

 

Posted by Hugo on 2005-02-08 16:10:24