Given four non-coplanar points, how many different planes exist that are equidistant from all four points?

(In reply to I'm pretty sure... by Jer)

I think Jer has it.  7
4 with 3 points on one side of the plane, and 1 on the other.
3 with 2 points on either side of the plane.  (I had counted each of these twice).

{edit} and SteveH {/edit}

Edited on December 17, 2004, 5:21 pm

Posted by Larry on 2004-12-17 17:17:50