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:

- Enter your own numbers into the Red Squares and then click on "Add Rows". You can experiment with any numbers using any strategy.
- Put numbers in the top set of squares and click on "Make Square". If you try this method try any numbers you like. But, to get a conventional square use:
- Numbers 20, 15, 10, 5, and 0 in one row - in any order.
- Numbers 4, 3, 2, 1, 0, and 1 in the other row.

Move your Mouse over a **Blue Arrow** and **WAIT**. Observe the numbers in the Magic Square. This reveals the underlying structure of a 5x5 Magic Square. One pattern represents the large numbers and the other the small ones. All 5x5 Pan-Magic Squares have a similar underlying structure. By changing the order of the numbers in these two sets of numbers, 144 distinct squares are possible. Reflecting, rotating, and translocating, each square multiplies this by 200 to give a grand total of 28,800 different 5x5 pan-magic squares. This method always produces **"Pan-magic"** squares, i.e., all the Diagonals are always "Magic".

Copyright © Mar 2010 | Magic Squares Website |
Updated Mar 6, 2010 |