Difference between revisions of "Magic squares"
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== Definition == | == Definition == | ||
| − | A magic square is a <math>n \times n</math> grid filled in with numbers where the sum of the rows are the same, and the sum of the | + | A magic square is a <math>n \times n</math> grid filled in with numbers where the sum of the rows are the same, the sum of the columns, and the sum of the main diagonals are the same. <math>n</math> is the order of the square. |
A magic square can be rotated, you can add or subtract a same number to all the numbers, and it can be flipped to produce another valid magic square. | A magic square can be rotated, you can add or subtract a same number to all the numbers, and it can be flipped to produce another valid magic square. | ||
Latest revision as of 22:53, 30 June 2021
Definition
A magic square is a 
grid filled in with numbers where the sum of the rows are the same, the sum of the columns, and the sum of the main diagonals are the same. 
is the order of the square.
A magic square can be rotated, you can add or subtract a same number to all the numbers, and it can be flipped to produce another valid magic square.
Number of Magic Squares
| Order | Number of Different Magic Squares |
|---|---|
| 1 | 1 |
| 2 | 0 |
| 3 | 1 |
| 4 | 880 |
| 5 | 275, 305, 224 |
Resources
The Zen of Magic Squares, Circles, and Stars by Clifford A. Pickover
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