Question

Each hexagon is made by adding up the numbers in two hexagons below it fill in the missing number in this puzzle 13 15 12 8

Answer 1

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 M. A normal magic hexagon contains the consecutive integers from 1 to 3n2 − 3n + 1. It turns out that normal magic hexagons exist only for n = 1 (which is trivial, as it is composed of only 1 hexagon) and n = 3. Moreover, the solution of order 3 is essentially unique.[1] Meng also gave a less intricate constructive proof