An Array of the integers from 1 to such that the difference between any one integer and its neighbor (horizontally, vertically, or diagonally, without wrapping around) is greater than or equal to some value is called a -talisman square. The above illustrations show (4, 2)-, (4, 3)-, (5, 4)-, and (6, 8)-talisman squares.

**References**

Madachy, J. S. *Madachy's Mathematical Recreations.* New York: Dover, pp. 110-113, 1979.

Weisstein, E. W. ``Magic Squares.'' Mathematica notebook MagicSquares.m.

© 1996-9

1999-05-26