Magic square  

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 +In [[recreational mathematics]], a '''magic square''' of order ''n'' is an arrangement of ''n''<sup>2</sup> numbers, usually distinct [[integer]]s, in a [[square (geometry)|square]], such that the ''n'' numbers in all rows, all columns, and both diagonals sum to the same constant. A '''normal''' magic square contains the integers from 1 to ''n''<sup>2</sup>. The term "magic square" is also sometimes used to refer to any of various types of [[word square]].
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 +==See also==
 +<div style="-moz-column-count:3; column-count:3;">
 +* [[Arithmetic sequence]]
 +* [[Combinatorial design]]
 +* [[Freudenthal magic square]]
 +* [[John R. Hendricks]]
 +* [[Hexagonal tortoise problem]]
 +* [[Latin square]]
 +* [[Magic circle (mathematics)|Magic circle]]
 +* [[Magic cube classes]]
 +* [[Magic series]]
 +* [[Most-perfect magic square]]
 +* [[Nasik magic hypercube]]
 +* [[Prime reciprocal magic square]]
 +* [[Room square]]
 +* [[Matrix (mathematics)#Square matrices|Square matrices]]
 +* [[Sudoku]]
 +* [[Unsolved problems in mathematics]]
 +* [[Vedic square]]
 +</div>
-A famous [[allegory|allegorical]] [[engraving]] by [[Albrecht Dürer]] is entitled '''''[[Melencolia I]]'''''. This engraving portrays melancholia as the state of waiting for inspiration to strike, and not necessarily as a depressive affliction. Amongst other allegorical symbols, the picture includes a [[magic square]], and a truncated [[rhombohedron]] . The image in turn inspired a passage in [[The City of Dreadful Night]] by [[James Thomson (B.V.)]], and, a few years later, a sonnet by [[Edward Dowden]]. 
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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. A normal magic square contains the integers from 1 to n2. The term "magic square" is also sometimes used to refer to any of various types of word square.


See also





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