MATHEMATICAL PROPERTIES OF 9×9 STRONGLY MAGIC SQUARES

A magic square is a square array of numbers where the rows, columns, diagonals and co-diagonals add up to the same number. The paper discusses about a well-known class of magic squares; the strongly magic square. The strongly magic square is a magic square with  a stronger property that the sum of the entries of the sub-squares taken without any gaps between the rows or columns is also the magic constant. In this paper a generic definition for Strongly Magic Squares is given. This paper focuses on discovering the mathematical properties of 9×9  Strongly Magic Squares