Most of us are familiar with Magic Squares and its wonders. But little is known about Magic Hexagons. This post is attributed for describing "Magic Hexagons".
A magic hexagon of order n is an arrangement of numbers in a centered hexagonal pattern with n cells on each edge, in such a way that the numbers in each row, in all three directions, sum to the same magic constant. A normal magic hexagon contains the consecutive integers from 1 to 3n^2 − 3n + 1. It turns out that normal magic hexagons exist only for n = 1 (which is trivial) and n = 3. Moreover, the solution of order 3 is essentially unique. These hexagons are shown for your reference. The first magic hexagon has Magic sum 1 and second has Magic Sum 38.