Definitions for magic square
This page provides all possible meanings and translations of the word magic square
Random House Webster's College Dictionary
a square containing integers arranged in an equal number of rows and columns so that the sum of the integers in any row, column, or diagonal is the same.
Origin of magic square:
a square matrix of n rows and columns; the first n^2 integers are arranged in the cells of the matrix in such a way that the sum of any row or column or diagonal is the same
A palindromic square word arrangement, usually in the form of a magic amulet.
An n-by-n arrangement of n numbers such that the numbers in each row, in each column and along both diagonals all have the same sum.
In recreational mathematics, a magic square is an arrangement of numbers in a square grid, where the numbers in each row, and in each column, and the numbers that run diagonally in both directions, all add up to the same number. A magic square has the same number of rows as it has columns, and in conventional math notation, "n" stands for the number of rows it has. Thus, a magic square always contains n² numbers, and its size is described as being "of order n". A magic square that contains the integers from 1 to n² is called a normal magic square. It is possible to construct a normal magic square of any size except 2 x 2, although the solution to a magic square where n = 1 is trivial, since it consists simply of a single cell containing the number 1. The smallest nontrivial case, shown below, is a 3 x 3 grid. The constant that is the sum of every row, column and diagonal is called the magic constant or magic sum, M. Every normal magic square has a unique constant determined solely by the value of n, which can be calculated using this formula:²
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