Can you create a 4x4 magic square that still works with the same total when turned upside down?

[A Magic Square is a grid of numbers whose rows, columns and long diagonals add up to the same total. All the numbers in the square must be different.]

[By 'turned upside down' I mean that if 106 is the number in the top left corner in the original magic square, then 901 is in the bottom right corner of the inverted square]

Ok, so we've established that 1, 0, 6, 8, and 9 are still legible upside down. Obviously 3, 4, and 7 are out. What about 5 and 2? Are they legal? Do we read them like an LCD alarm clock?

(P.S. Preliminarily, my answer to this one is "no", I probably can't do it. But that doesn't mean it can't be done!) =)

Posted by John on 2003-11-21 16:42:57