MAGIC SQUARES A "magic square" is a rectangular array of numbers, usually from 1 to n 2 , so that each column, row, and both diagonals have the same sum. A magic square is an arrangement of the numbers from 1 to n 2 in an n x n matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same. It is not hard to show that this sum must be n( n 2+1 )/2 . " Odd " Magic Squares, which means that there is an odd number of cells on each side of the Magic Square. " Even " Magic Squares, which means that there is an even number of cells on each side of the Magic Square. "Even" Magic Squares may be further divided into two sub-categories: The next simplest is the 3x3 magic square Numeric Magic Squares may be divided into two categories: " singly even " Magic Squares, which means that the number of cells on each side of the Magic Square is evenly divisib...
Comments
Post a Comment