Magic triangle (mathematics)
A magic triangle (also called a perimeter magic triangle[1]) is a triangle with a certain number of numbers (n numbers[1][2]) on each side with a perimeter that equals a magic sum.[3][4] Unlike with magic squares, there are different magic sums for magic triangles of the same order.[1] Any magic triangle has a complement obtained by adding the greatest and least number in the magic triangle and then subtracting every number one-by-one from this number. This means only the half of the magic triangles for any order need to be checked.[1]
Examples
References
- ^ a b c d "Perimeter Magic Triangles". www.magic-squares.net. Retrieved 2016-12-27.
- ^ "Perimeter Maghic Polygons". www.trottermath.net. Retrieved 2016-12-27.
- ^ "Magic Triangle : nrich.maths.org". nrich.maths.org. Retrieved 2016-12-27.
- ^ "P4W8: Magic Triangles and Other Figures" (PDF). Retrieved December 27, 2016.