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 3n² − 3n + 1.
It turns out that magic hexagons exist only for n = 1 (which is trivial) and n = 3.
Arsen Zahray discovered these order 4 and
5 hexagons:
The order 4 hexagon starts with 3 and ends with 39, its rows summing to 111. The order 5 hexagon starts with 6 and
ends with 66 and sums to 244.
An order 6 hexagon can be seen below. It was created by Louis Hoelbling, October 11th, 2004
A normal magic hexagon contains the consecutive integers from 1 to 3n² − 3n + 1.
It turns out that magic hexagons exist only for n = 1 (which is trivial) and n = 3.
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