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Encyclopedia > Magic constant

The magic constant of a magic square, an n-by-n matrix, is defined such that the sum of any row, column or main diagonal yields the same result, denoted M2(n). If the numbers in the magic square are 1, 2,..., n, then

.

Paul Muljadi discovered and proved the Magic constant of n-Queens Problem is also the Magic constant of a Magic Square of order n > 3.


The first few magic constants are 15, 34, 65, 111, 175, 260, 369, 505


See also


  Results from FactBites:
 
Magic square - Wikipedia, the free encyclopedia (1488 words)
In mathematics, a magic square (幻方) of order n is an arrangement of n² numbers in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.
The earliest magic square of order four was found in an inscription in Khajuraho, India, dating from the eleventh or twelfth century; it is also a panmagic square where, in addition to the rows, columns and main diagonals, the broken diagonals also have the same sum.
Odd and doubly even magic squares are easy to generate; the construction of singly even magic squares is more difficult but several methods exist, including the LUX method for magic squares (due to John Conway) and the Strachey method for magic squares.
Magic number - Wikipedia, the free encyclopedia (155 words)
Magic number - in sports, a number used to indicate how close a front-running team is to clinching a season title;
Magic number - in nuclear physics, a number of nucleons such that they are arranged into complete shells within the atomic nucleus.
Magical number seven - in cognitive psychology, a short-term memory theory involving chunking.
  More results at FactBites »

 
 

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