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A Magic Square with a Magic Product

In SF#127, we reproduced a magic square that was "more magical than others" and asked if a magic square "could be more perfect" than it was. Apparently, the answer is YES.

It turns out that the familiar 3 x 3 magic square shown below possesses another marvelous property in addition to its magickness: it has a "magic product." If you add the products of the numbers in each row, you get 225; that is, (8x1x6 + 3x5x7 + 4x9x2 = 225). Do the same with the columns and you also get 225. This is the "magic product." But, wonder of wonders, 225 is also the square of this particular square's characteristic number, 15. Ain't that neat?

(Denham, Susan; "Magic Product," New Scientist, p. 49, April 29, 2000.)

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From Science Frontiers #130, JUL-AUG 2000. 2000 William R. Corliss

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