|
|
|
|
magic square
|
(Definition)
|
|
|
A magic square of order  is an  array using each one of the numbers
 once and such that the sum of the numbers in each row, column or main diagonal is the same.
Example:
It's easy to prove that the sum is always
 . So in the example with  the sum is always
 .
One way to generalize this concept is to allow any numbers in the entries, instead of
 .
|
"magic square" is owned by drini. [ owner history (1) ]
|
|
(view preamble)
Cross-references: diagonal, column, row, sum, order
There are 11 references to this entry.
This is version 2 of magic square, born on 2002-01-31, modified 2005-03-03.
Object id is 1626, canonical name is MagicSquare.
Accessed 2811 times total.
Classification:
| AMS MSC: | 05B15 (Combinatorics :: Designs and configurations :: Orthogonal arrays, Latin squares, Room squares) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
