Magic triangle (mathematics)
From HandWiki
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.[1]
Examples
Order-3 magic triangles are the simplest (except for trivial magic triangles of order 1).[1]
See also
References
- ↑ 1.0 1.1 1.2 1.3 1.4 "Perimeter Magic Triangles". http://www.magic-squares.net/perimeter.htm.
- ↑ "Perimeter Maghic Polygons". http://www.trottermath.net/simpleops/pmp.html.
- ↑ "Magic Triangle : nrich.maths.org". https://nrich.maths.org/1983.
- ↑ "P4W8: Magic Triangles and Other Figures". http://cemc.uwaterloo.ca/resources/p4w/archive/p4w8_magic_triangles_and_other_figures.pdf.
| Types |  | |
|---|---|---|
| Related shapes | ||
| Higher dimensional shapes | ||
| Related concepts | ||
 |
