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- Broken_diagonal abstract "A broken diagonal is a sequence of n diametrically-positioned cells in a panmagic square which spans the vertical boundary. 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.File:PanmagicSquare-Order4.pngNotice 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:File:PanmagicSquare-Order4.pngFile:PanmagicSquare-Order4.pngIt is easy to see now how the set of numbers {3, 12, 14, 5} 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. Although this specific article relates to broken diagonals in panmagic squares, the "broken diagonal" also has uses in matrices and other areas of geometry such as determining the area of a polygon solely from its Cartesian coordinates.".
- Broken_diagonal thumbnail PanmagicSquare-Order4.png?width=300.
- Broken_diagonal wikiPageID "3231123".
- Broken_diagonal wikiPageRevisionID "510220988".
- Broken_diagonal hasPhotoCollection Broken_diagonal.
- Broken_diagonal subject Category:Magic_squares.
- Broken_diagonal type Abstraction100002137.
- Broken_diagonal type Arrangement107938773.
- Broken_diagonal type Array107939382.
- Broken_diagonal type Group100031264.
- Broken_diagonal type MagicSquare108269707.
- Broken_diagonal type MagicSquares.
- Broken_diagonal type Matrix108267640.
- Broken_diagonal type SquareMatrix108268085.
- Broken_diagonal comment "A broken diagonal is a sequence of n diametrically-positioned cells in a panmagic square which spans the vertical boundary.".
- Broken_diagonal label "Broken diagonal".
- Broken_diagonal sameAs m.08__94.
- Broken_diagonal sameAs Q4973512.
- Broken_diagonal sameAs Q4973512.
- Broken_diagonal sameAs Broken_diagonal.
- Broken_diagonal wasDerivedFrom Broken_diagonal?oldid=510220988.
- Broken_diagonal depiction PanmagicSquare-Order4.png.
- Broken_diagonal isPrimaryTopicOf Broken_diagonal.