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 cell) and n = 3. Moreover, the solution of order 3 is essentially unique.[1] Meng also gave a less intricate constructive proof.[2]
The order-3 magic hexagon has been published many times as a 'new' discovery. An early reference, and possibly the first discoverer, is Ernst von Haselberg (1887).
^Trigg, C. W. "A Unique Magic Hexagon", Recreational Mathematics Magazine, January–February 1964. Retrieved on 2009-12-16.
^Meng, F. "Research into the Order 3 Magic Hexagon", Shing-Tung Yau Awards, October 2008. Retrieved on 2009-12-16.
A magichexagon 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...
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