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![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
magic constant
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(Definition)
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Given a magic square, magic cube, etc., the sum of any row, column or diagonal is called the magic constant of that magic square, cube, etc.
In the case of a standard
 magic square that uses the integers from 1 to  , the magic constant is
while that for a magic cube is
We can then generalize to higher dimensions  thus:
So, for dimension  the magic constant is
 . For instance, a Franklin magic square (
 ) has magic constant
 .
In a trivial sense, an
 sudoku puzzle has a magic constant of  .
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"magic constant" is owned by Mravinci.
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(view preamble)
Cross-references: sudoku, Franklin magic square, dimensions, integers, diagonal, column, row, sum, cube, magic square
There are 4 references to this entry.
This is version 2 of magic constant, born on 2006-11-17, modified 2006-11-19.
Object id is 8565, canonical name is MagicConstant.
Accessed 745 times total.
Classification:
| AMS MSC: | 05B15 (Combinatorics :: Designs and configurations :: Orthogonal arrays, Latin squares, Room squares) |
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Pending Errata and Addenda
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