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Topic: Magic Square Challenge
Message: Posted by: Scott Cram (Jun 23, 2005 09:34AM)
As many of you know, the smallest possible magic square is 3 x 3, requiring 9 different numbers. That is, until now . . .

Can you create a magic square with only 8 different numbers, writing each number only once? Yes, each number may have more than 1 digit, but you can only use 8 numbers and they must all be different.
Message: Posted by: stanalger (Jun 23, 2005 10:06AM)

Since you got us thinking about magic squares on the 15-puzzle, I'm
wondering if the following would work:

Message: Posted by: stanalger (Jun 23, 2005 10:39AM)
But wait...the above is not really a square. (Or if it [b]is[/b] a square,
it's still 3x3.)

Message: Posted by: Scott Cram (Jun 23, 2005 11:21AM)
Those aren't the answers I was going for, but they are both interesting approaches, and they both fit the parameters I described!

If this were GAMES magazine, your answers would go right into the "Eureka!" column (the column for those who found alternative qualifying answers to various puzzles).

You've done a 2x2 magic square and a 3x3 magic square, now how about a 4x4 square with the same parameters? (Yes, it can be done . . . )
Message: Posted by: Scott Cram (Jun 26, 2005 12:58PM)
Stanalger provided some great 2x2 and 3x3 magic squares using only eight numbers, but no one was able to get the 4x4 magic square.

If you want to see the answer, [url=http://www.online-visions.com/effects/0506werner.html]click here[/url]. I am in awe of the work it must have taken to come up with this.

P.S. This is my 1000th post!