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Magic Hexagrams The task is to arrange the numbers 1 to 12 in the triangles, so that each row (horizontal and diagonal) adds up to the same (magic) constant. The following two solutions are unique (excluding reflections and rotations):-   They are complementary - i.e. swap 1 & 12, 2 & 11, 3 & 10, 4 & 9, 5 & 8, and 6 & 7 in either hexagram to get the other. The magic constants (the sum of each of the 6 possible rows) are 33 and 32 respectively. This C program searches for all solutions, confirming there are just two.
See also Magic Stars of David
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