magic square

A magic square of order n is an n×n array using each one of the numbers 1,2,3,,n2 once and such that the sum of the numbers in each row, column or main diagonal is the same.



It’s easy to prove that the sum is always 12n(n2+1). So in the example with n=3 the sum is always 12(3×10)=15.

One way to generalize this concept is to allow any numbers in the entries, instead of 1,2,,n.

Title magic square
Canonical name MagicSquare
Date of creation 2013-03-22 12:14:39
Last modified on 2013-03-22 12:14:39
Owner drini (3)
Last modified by drini (3)
Numerical id 6
Author drini (3)
Entry type Definition
Classification msc 05B15