Magic triangle (mathematics)
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A magic triangle (also called a perimeter magic triangle[1]) is an arrangement of the integers from 1 to n on the sides of a triangle with the same number of integers on each side, called the order of the triangle, so that the sum of integers on each side is a constant, the magic sum of the triangle.[1][2][3][4] Unlike magic squares, there are different magic sums for magic triangles of the same order.[1] Any magic triangle has a complementary triangle obtained by replacing each integer x in the triangle with 1 + n − x. This means that only half of the triangles for any order need to be checked for the magic property.[1]
Examples
Order-3 magic triangles are the simplest (except for trivial magic triangles of order 1).[1]
See also
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References
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