1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Magic Squares/Magic Constant

  1. Mar 7, 2010 #1
    1. The problem statement, all variables and given/known data

    a) Show that the magic constant of an nth order normal magic square is n(n^2+1)/2.
    b) Show that the center of a 3x3 must be occupied by the number 5.
    c) Show that in a normal magic square of 3x3 the number 1 can never occur in a corner cell.


    2. Relevant equations

    None needed

    3. The attempt at a solution

    I have no idea where to start.
     
  2. jcsd
  3. Mar 7, 2010 #2
    For part (a), consider the sum of the numbers in the entire square. How does that relate to the magic constant?

    For (b), try putting 1 in the center and see if you can tell why it doesn't work. Generalize.

    Part (c) has a similar reason. Go ahead and put the 1 in a corner and see if you can get the three rows touching it to add up.
     
    Last edited: Mar 7, 2010
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook