Prove that the central cell (the number in the middle cell) of any 3x3 magic square is always one-third the magic constant (the sum of any side, either 2 major diagonals, or either center row in the magic square).
Show that in any larger square (n x n), the central cell does not need to be 1/n the magic constant.

(In reply to The second part by Brian Smith)

Come now Brian,

You can't POSSIBLY have expected to be allowed to slide with that answer. :-)

You must now PROVE that your underlying assumption is true (namely, that for every odd n>=5, there is a magic square of order n which pandiagonal).

Posted by SilverKnight on 2004-04-16 14:11:55