All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Games
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: The second part | Comment 3 of 11 |
(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

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information