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Fake Banner
By Jim Myres | June 28th 2008 03:31 PM | Print | E-mail | Track Comments
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More Recreational Number Theory articles

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About Jim Myres

Education: University of Cincinnati - B.S. 1972 (Before most of you were born) Xavier University, Cincinnati - M.B.A. 1978

Teaching Experience: University of Cincinnati, College of Pharmacy


... Full Bio

It might be hard for the young student to see the fun in math. Up till now it has been memorize, memorize, memorize for them. This can give them a break and tease their minds. Numbers that look simple, just two digits "1" and "8." It doesn’t get any easier than this, but wow can these two numbers do some magic. Consider this magic square:

IXOHOXI























8818

1111

8188

1881

8181

1888

8811

1118

1811

8118

1181

8888

1188

8881

1818

8111

Just like every other magic square, this one adds up to 19998 in all the usual ways. Then things get bizarre. The title of this magic square is IXOHOXI. This name is the same read from right to left or left to right. It is the same upside down or right side up. It is the same in a mirror upside down or right side up, forwards or backwards. No matter how you hold it or look at it, it will always be IXOHOXI. The same is true for this magic square, no matter how you look at it, the sets of four numbers always add up to 19998. There are probably over a hundred ways to get this unique sum.

I would like to tell you the history of this magic square but the only reference I have for it is one of my old paper back math books (that is falling apart), Fun With Mathematics, by Jerome S. Meyer, published in 1961. Google and Wikipedia were no help.

If magic squares are of interest to you or young students you know, I recommend that you look at the entry titled "magic squares" in Wikipedia.


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