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 nth hex number, such that the difference between all adjacent hexagons is at least as large as a number k. The hexagon illustrated above is a (3, 4)-talisman hexagon.

hex number | magic square | talisman square