Multimagic squares records
See also the multimagic cubes and
hypercubes records
|
Power |
Square & Order |
Inventor |
Country |
Date |
|
1 |
??? |
China |
~2000 before J-C |
|
|
2 |
G. Pfeffermann |
France |
1890 |
|
|
3 |
Gaston Tarry |
France |
1905 |
|
|
General Eutrope Cazalas |
France |
1933 |
||
|
William H. Benson |
USA |
1976 (*) |
||
|
Walter Trump |
Germany |
2002 |
||
|
4 |
Charles Devimeux |
France |
1983 (**) |
|
|
Pan Fengchu |
China |
February 2004 |
||
|
5 |
Christian Boyer - André Viricel |
France |
2001 |
|
|
Li Wen |
China |
June 2003 |
||
|
6 |
Pan Fengchu |
China |
December 2003 |
|
|
7 and + |
Highly multimagic |
independently: Pierre Tougne (France), Pan Fengchu (China), H. Derksen, C. Eggermont, A. van den Essen (USA & Netherlands) and Jaroslaw Wroblewski (Poland) |
2004-2006 |
|
(*) In his book published in 1976, William Benson
points out that he built this 32nd-order trimagic square as far back as 1949.
(**) This square was fully forgotten... but 1983, it's far before the Boyer-Viricel tetramagic
512 (in 2001) and Boyer tetramagic
256 (in 2003) squares which can no longer be considered as the first
known tetramagic squares!
At the opposite of what we could first think, it is more difficult to build a highly multimagic square having a small size, rather than a large size. That is why the 12nd-order square of Trump is considered "superior" to the 32th-order square of Benson itself "superior" to the 64th-order square of Cazalas, and so on...
It is proved impossible to construct a bimagic square of order smaller than 8, and proved impossible to construct a trimagic square of order smaller than 12. If you want to appear in the above table of records, you have to work on at least tetramagic squares:
If you succeed, send me a message!
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