A magic hexagon of order n is an arrangement of close-packed hexagons containing the numbers 1, 2, ..., H_(n - 1), where H_n is the n th hex number such that the numbers along each straight line add up to the same sum. (Here, the hex numbers are i.e., 1, 7, 19, 37, 61, 91, 127, ...; OEIS A003215). In the above magic hexagon of order n = 3, each line (those of lengths 3, 4, and 5) adds up to 38.

hexagon | hex number | magic graph | magic hexagram | magic square | Pascal's theorem | talisman hexagon