Find two regular tetrahedra that share a face placed in a way such that each vertex has integer coordinates.
(In reply to re: question?
Yes, Jer... that is equivalent to saying that all x/4 scalings of SK's solution will work.
But, as he mentioned, you can also rotate, scale, and shift it.
BTW, I look forward to seeing your smaller sized (scaling of?) regular tetrahedra that satisfy the problem.
Posted by Thalamus
on 2004-03-26 13:49:47