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2. Associative magic square - Wikipedia

   en.wikipedia.org/wiki/Associative_magic_square

   The number zero for n = 6 is an example of a more general phenomenon: associative magic squares do not exist for values of n that are singly even (equal to 2 modulo 4). [3] Every associative magic square of even order forms a singular matrix, but associative magic squares of odd order can be singular or nonsingular. [4]

3. File:Magic Squares - 8x8 - Permutations along 4x4 diagonals ...

   en.wikipedia.org/wiki/File:Magic_Squares_-_8x8...

   Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more

4. Broken diagonal - Wikipedia

   en.wikipedia.org/wiki/Broken_diagonal

   Examples of broken diagonals from the number square in the image 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. The fact that this square is a pandiagonal magic square can be verified by checking that all of its broken diagonals add up to the same constant: 3+12+14+5 = 34 10+1+7+16 = 34 10+13+7+4 = 34. One ...

5. Category:Magic squares - Wikipedia

   en.wikipedia.org/wiki/Category:Magic_squares

   Print/export Download as PDF; Printable version; In other projects ... Pages in category "Magic squares" The following 47 pages are in this category, out of 47 total.

6. Siamese method - Wikipedia

   en.wikipedia.org/wiki/Siamese_method

   For example the following sequence can be used to form an order 3 magic square according to the Siamese method (9 boxes): 5, 10, 15, 20, 25, 30, 35, 40, 45 (the magic sum gives 75, for all rows, columns and diagonals). The magic sum in these cases will be the sum of the arithmetic progression used divided by the order of the magic square.

7. Conway's LUX method for magic squares - Wikipedia

   en.wikipedia.org/wiki/Conway's_LUX_method_for...

   Start by creating a (2n+1)-by-(2n+1) square array consisting of n+1 rows of Ls, 1 row of Us, and; n-1 rows of Xs, and then exchange the U in the middle with the L above it. Each letter represents a 2x2 block of numbers in the finished square.

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9. Pandiagonal magic square - Wikipedia

   en.wikipedia.org/wiki/Pandiagonal_magic_square

   Since each 2 × 2 subsquare sums to the magic constant, 4 × 4 pandiagonal magic squares are most-perfect magic squares. In addition, the two numbers at the opposite corners of any 3 × 3 square add up to half the magic constant. Consequently, all 4 × 4 pandiagonal magic squares that are associative must have duplicate cells.