幻方记录

最大的幻方（The Largest Magic Square）

幻方是一个n×n的方阵，其n行、n列及其两条对角线所含的n个数的和相等，例子: (三阶幻方，和为15)

4 9 2
3 5 7
8 1 6

You can read more about magic squares at forum.swarthmore.edu/alejandre/magic.square.html.

Interesting records for multi-magic squares (not only the sum of the numbers but also the sum of their squares, cubes, etc. must be the same) can be found at www.multimagie.com.

The Rules

• The magic square must be written/printed on paper. It is not sufficient just to calculate it by a computer.
• It is allowed to compose the magic square from many sheets of paper, but they MUST lay together to form one scheme of numbers. This scheme must be a square, not just any rectangle.
• To verify the sums in each row/column and diagonal a test run of the used computer program should be made under supervision of a computer/ mathematics specialist who can prove that the program is correct.

国际性成果

 105 X  105 Richard Suntag (Pomona, 美国)            1975
 501 X  501 Gerolf Lenz (Wuppertal, 德国)        1979
 897 X  897 Frank Tast + Uli Schmidt
            (Pforzheim, 德国)                    1987
1000 X 1000 Christian Schaller (Munich, 德国)    1988
2001 X 2001 Sven Paulus, Ralph Bülling, Jörg Sutter
            (Pforzheim, 德国)                    1989
2121 X 2121 Ralf Laue (Leipzig, 德国)            1991
3001 X 3001 Louis Caya (Sainte-Foy, 加拿大)         1994

手写的最大幻方（Largest Magic Square Written by Hand）

1111 X 1111 Norbert Behnke (Krefeld, 德国)       1990