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The Central Cell (Posted on 2004-04-16) Difficulty: 2 of 5
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.

See The Solution Submitted by Victor Zapana    
Rating: 4.5000 (4 votes)

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Some Thoughts re: Solution to part 1 | Comment 5 of 11 |
(In reply to Solution to part 1 by Jer)

For part 2, it suffices to find ONE nxn square magic such that the center cell isn't 1/n the magic constant; you don't need a general proof.
  Posted by e.g. on 2004-04-16 17:12:32

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