Talisman Square

An $n\times n$ Array of the integers from 1 to $n^2$ 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 $k$ is called a $(n,k)$-talisman square. The above illustrations show (4, 2)-, (4, 3)-, (5, 4)-, and (6, 8)-talisman squares.

See also Antimagic Square, Heterosquare, Magic Square, Talisman Hexagon

References

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

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