# magic square

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magic square
top: the SATOR letter square
bottom: the number square from Albrecht Dürer's engraving Melencolia I

## magic square

n.
1. A square that contains numbers arranged in equal rows and columns such that the sum of each row, column, and sometimes diagonal is the same.
2. A similar square containing letters in particular arrangements that spell out the same word or words.

## magic square

n
(Mathematics) a square array of rows of integers arranged so that the sum of the integers is the same when taken vertically, horizontally, or diagonally

## mag′ic square′

n.
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]

## magic square

A square made up of smaller squares each containing a number, popular with magicians for making talismans.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 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 samesquare matrix - a matrix with the same number of rows and columns
References in periodicals archive ?
Advanced subjects covered include sequences in combinatorics, symmetric codes, error-correcting codes, magic squares, and properties of sequences.
3) diagrams could be viewed as similar to magic squares with magic constant 18.
In Turchi's associative narrative, "A Muse and a Maze: Writing as Puzzle, Mystery, and Magic" reveals the history of puzzles, their obsessive quality, and notes that even Benjamin Franklin was a devotee of an ancient precursor of sudoku called Magic Squares.
Next ask your students to make up a magic square using the numbers 1, 1, 1, 2, 2, 2, 3, 3, 3.
Arthur claimed his inspiration came from an ancient Roman game played in Pompeii called magic squares, inwhich playerswere given a list of words and letters on tiles to make into patterns on a table.
The TriMathlon consists of three challenges: The Counting Game (tests student's ability to count from any number, to any number, by any number), Magic Squares (students are awarded points for developing their own math problems), and Mental Math Workout (evaluates student's Number Sense by asking them to solve given problems the 'smart' way without pencil and paper).
Magic squares have a long history going back thousands of years to ancient China.
Although the use of magic squares in amulets is well attested through theoretical works such as al-Buni's Shams al-maarif al-kubra, and through manuscript specimens, only one other example of a block-printed square is known.
Amulets would have been made with lucky numbers or magic squares engraved on them.
In chapters IX, X and XI Gerdes analyzes some particular types of Lunda-designs, it emphasizes the many connections between Lunda-designs and other areas of mathematics, and also deal with possible connections and entanglements with mathematical magic squares, the determinant theory, fractals and mosaics.
For the next 25 years, the columns, puzzles, articles and books flowed: card tricks, brain teasers, problems in geometry and topology, magic squares, analyses of tic-tac-toe, and posers that challenged the wits and honed the logic of generations of students.
1] Sabin Tabirca, Smarandache Magic Squares, Smarandache Notions Journal, Vol.

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