A **magic square** is a quadratic scheme of numbers which
adds up vertically, horizontally and diagonally to the same sum.

**Example:** (sum is 15 for each row, column and diagonal)

4 | 9 | 2 |

3 | 5 | 7 |

8 | 1 | 6 |

There is no such thing like a record for finding the world's
largest magic square. There are well-known algorithms for
constructing an arbitrarily large magic square. Therefore, it is
easy to *compute* very large magic squares. However, the
records in this list are for *printing* or *writing*
magic squares.

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 Games and Puzzles
Journal and the web site magictour.free.fr list
interesting Magic Knight Tour records.

- 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.

105 x 105 Richard Suntag (Pomona, USA) 1975

501 x 501 Gerolf Lenz (Wuppertal, Germany) 1979

897 x 897 Frank Tast & Uli Schmidt

(Pforzheim, Germany) 1987

1000 x 1000 Christian Schaller (Munich, Germany) 1988

2001 x 2001 Sven Paulus, Ralph Bülling, Jörg Sutter

(Pforzheim, Germany) 1989

2121 x 2121 Ralf Laue (Leipzig, Germany) 1991

3001 x 3001 Louis Caya (Sainte-Foy, Canada) 1994

3559 x 3559 Peter Weber & Tassilo Herbig (Zittau, Germany) 2012

1111 x 1111 Norbert Behnke (Krefeld, Germany) 1990

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