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]

I found (in one of my books) a different one, handwritten, so the 7 upside down looks like a 2, and vice-versa. here it is:

11  77  62  29

69  22  17  71

27  61  79  12

72  19  21  67

magic sum: 179

Posted by pcbouhid on 2008-06-09 22:32:18