Science Fair Project Encyclopedia
Bimagic square
In mathematics, a bimagic square is a magic square that also remains magic if all of the numbers it contains are squared. The first known bimagic square has order 8 and magic constant 260; it has been conjectured that no nontrivial bimagic squares of order less than 8 exist, but the conjecture remains unproven. However, J. R. Hendricks was able to show in 1998 that no bimagic square of order 3 exists, save for the trivial bimagic square containing the same number nine times.
See also
- Magic square
- Trimagic square
- Multimagic square
- Magic cube
- Bimagic cube
- Trimagic cube
- Multimagic cube
External links
- Aale de Winkel's listing of all 80 bimagic squares of order 8.
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details