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
The numerical value of magic square in Chaldean Numerology is: 3
The numerical value of magic square in Pythagorean Numerology is: 6
Images & Illustrations of magic square
Translations for magic square
From our Multilingual Translation Dictionary
Get even more translations for magic square »
Find a translation for the magic square definition in other languages:
Select another language:
Discuss these magic square definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"magic square." Definitions.net. STANDS4 LLC, 2017. Web. 26 Mar. 2017. <http://www.definitions.net/definition/magic square>.