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Magic Squares - Math

Magic SquaresJenny KenkelSeptember 4, 2018 DefinitionAmagic squareis an ngrid of numbers such that the sum ofeach row is equal, and equal to the sum of each definitions also require the sum along the main diagonals toadd to the same square is an nsquare in which each of theentries 1,..,n2is used exactly once, and one in which the sum ofthe main diagonals is equal to the row (and column) Squares : HistoryIThere is a legend that the (semi-mythical) emperor Yu, BCE, copied a Magic square off the back of a giantturtle in the Luo, a tributary of the Huang He (Yellow River).IThe turtle s Magic square is called theLuo Shuand is492357816 IThis story originated no later than 200 Hui s ConstructionsThe following method for constructing the Luo Shu andconstructing a 4 4 Magic square come from Yang Hui s book,1275 CE: Xu Gu Zhai Suan Fa Continuation of Ancient Mathematical Methods for Elucidatingthe Strange Properties of Numbers Method for Constructing the Luo Shu (c.)

De nition A magic square is a n n grid of numbers such that the sum of each row is equal, and equal to the sum of each column. 4 9 2 3 5 7 8 1 6 Some de nitions also require the sum along the main diagonals to

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