Talisman Hexagon

An $(n,k)$-talisman hexagon is an arrangement of nested hexagons containing the integers 1, 2, ..., $H_n=3n(n-1)+1$, where $H_n$ is the $n$th Hex Number, such that the difference between all adjacent hexagons is at least as large as $k$. The hexagon illustrated above is a (3, 5)-talisman hexagon.

See also Hex Number, Magic Square, Talisman Square

References

Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 111-112, 1979.