The Bottom Right number
(under the blue down arrow)
above is the first number in
the sequence for the square.
By convention it is "1", but
any number can be used.
Change the order of the
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:
By moving your Mouse over a Blue Arrow and waiting, you can observe the numbers in the Magic Square. This reveals the underlying structure of a 4x4 Pan-Magic Square - one in which all of the diagonals are magic. This method only produces pan-magic squares. You can change the sequence of the numbers you insert to get different squares. Although they may look very different there are actually only three fundamentally different designs. Rotation, reflection, and translocation provides 128 variations for each of these fundamenstal squares for a grand total of 384.
If you try putting in your own numbers you may succeed in making a magic square which is magic but where only main diagonals are magic.
|Copyright © Mar 2010||Magic Squares
Mar 6, 2010