Magic hexagram

A magic hexagram of order 2 is an arrangement of numbers in a hexagram with triangular cells with 2 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.

Magic hexagram with sum 26

Magic star hexagram
Main article: Magic star

Magic star hexagram or 6-pointed magic star is a star polygon with Schläfli symbol {6/2} in which numbers are placed at each of the six vertices and six intersections, such that the four numbers on each line sum to the same magic constant.

Magic star hexagram with triangular cell
Magic hexagram with sum 32
Magic hexagram with sum 33

There are two solutions of magic star hexagram with 12 triangular cells.[1]

Magic star hexagram with more than 12 vertices
Magic hexagram with sum 50

Harold Reiter and David Ritchie calculated the solution of magic hexagrams with 19 vertices.[2]

See also

References
  1. Weisstein, Eric W. "Magic Hexagram". MathWorld.
    • Reiter, Harold; Ritchie, David (1989). "A Complete Solution to the Magic Hexagram Problem". The College Mathematics Journal. 20 (4): 307–316. doi:10.1080/07468342.1989.11973247.
    This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.