The numbers in the Red Squares form the 3x3 magic Square. The numbers beside the Red Squares show the totals for each row. The horizontal and vertical totals are to the right and below in green squares. The other, blue, squares show the diagonal totals - including all of the "broken diagonals". You can make your own Magic Square in two ways. Try both methods:
Positioning your Mouse over a Blue Arrow distributes the pattern of components in the Magic Square. This reveals the underlying structure of a 3x3 Magic Square. Actually, all 3x3 Magic Squares have an identical structure. And, if the same numbers are used, e.g., 1 to 9, the same square always results; it may be reflected, rotated, or both, but it is always the same square.
In the 3x3 square, it is impossible to make all of the diagonals "magic". The Main Diagonals are "Magic" when you put the middle value (the "3" and the "1") in the center location in their sequences in the top array. If you put these "middle" numbers in other positions, then one of the broken diagonals becomes magic instead.
|Copyright © Mar 2010||Magic Squares
Mar 6, 2010