magic square

magic square
a) A palindromic square word arrangement, usually in the form of a magic amulet.

Probably the best-known magic square is the 5×5 square consisting of the words ROTAS OPERA TENET AREPO SATOR.

b) 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.

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  • Magic square — Magic Mag ic, Magical Mag ic*al, a. [L. magicus, Gr. ?, fr. ?: cf. F. magique. See {Magi}.] 1. Pertaining to the hidden wisdom supposed to be possessed by the Magi; relating to the occult powers of nature, and the producing of effects by their… …   The Collaborative International Dictionary of English

  • Magic square — Square Square (skw[^a]r), n. [OF. esquarre, esquierre, F. [ e]querre a carpenter s square (cf. It. squadra), fr. (assumed) LL. exquadrare to make square; L. ex + quadrus a square, fr. quattuor four. See {Four}, and cf. {Quadrant}, {Squad},… …   The Collaborative International Dictionary of English

  • magic square — n. a table of numbers with the same amount of rows and columns, in which the sum of each column, row, or main diagonal is always equal to the same number …   English World dictionary

  • Magic square — In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.[1] A normal magic… …   Wikipedia

  • magic square — 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. [1695 1705] * * * ▪ puzzle       square matrix often divided into cells, filled with numbers …   Universalium

  • magic square — square divided into smaller numbered squares so that that every row and column adds up to the same total …   English contemporary dictionary

  • magic square — mag′ic square′ n. math. 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 • Etymology: 1695–1705 …   From formal English to slang

  • magic square — noun 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 • Hypernyms: ↑square matrix …   Useful english dictionary

  • magic square — noun Date: circa 1704 a square containing a number of integers arranged so that the sum of the numbers is the same in each row, column, and main diagonal and often in some or all of the other diagonals …   New Collegiate Dictionary

  • magic square — noun a square divided into smaller squares each containing a number, such that the figures in each vertical, horizontal, and diagonal row add up to the same value …   English new terms dictionary

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