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In recreational mathematics and the theory of magic squares, a broken diagonal is a set of ''n'' cells forming two parallel diagonal lines in the square. Alternatively, these two lines can be thought of as wrapping around the boundaries of the square to form a single sequence. A magic square in which the broken diagonals have the same sum as the rows, columns, and diagonals is called a panmagic square.〔.〕〔.〕 Examples of broken diagonals from the below square are as follows: 3,12,14,5; 10,1,7,16; 10,13,7,4; 15,8,2,9; 15,12,2,5; and 6,13,11,4. Notice that because one of the properties of a panmagic square is that the broken diagonals add up to the same constant, the following pattern is evident: ; ; One way to visualize a broken diagonal is to imagine a "ghost image" of the panmagic square adjacent to the original: It is easy to see now how the set of numbers result to form a broken diagonal: once wrapped around the original square, it can now be seen starting with the first square of the ghost image and moving down to the left. ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「broken diagonal」の詳細全文を読む スポンサード リンク
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