Identification Numbers

Answer Page

Rules for Odd Magic Squares

     The numbers for the matrix range from 1 to n^2.
     The magic number is n(n^2 + 1)/2.
     Two numbers equidistant from the center have the same sum, n^2+ 1.
     The middle number is (n^2 + 1)/2.

A 3 x 3 magic square, as shown below, has the following properties:

2	7	6
9	5	1
4	3	8

     The numbers range from 1 to 9.
     The magic number is 3(10)/2 = 15.
     Two numbers equidistant from the center have the same sum, 9 + 1 = 10.
     The middle number is (9 + 1)/2 = 5.