## Magic Squares

*December 14, 2009 at 12:59 pm* *
1 comment *

Magic Square predates back to 2200 BC. Legend has it that Emperor Ta-Yu conceived the first magic square after seeing a turtle with a odd pattern on its shell. Since that time magic squares have been part of the mathematics of nearly every culture. Benjamin Franklin wrote extensively about them and amused himself with them “to avoid weariness” while he was a clerk in the Pennsylvania assembly.

Magic square consists of numbers arranged in a square so that all rows, columns, and usually the two diagonals will add up to the same sum. Arrange the first nine counting numbers; 1, 2, 3, 4, 5, 6, 7, 8, 9, in the nine square cell. There is only one possible arrangement.

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1.Mango Math | December 17, 2009 at 1:13 pmAlthough there is only one possible solution for the Magic Square 3 x 3 square, with all sides equaling 15, there are more than 808 possible arrangements for the 4 x 4 magic square. Benjamin Franklin would solve and write about 8 x 8 arrangements as well as 16 x 16.