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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.

3. File:4x4 magic square hierarchy.svg - Wikipedia

   en.wikipedia.org/wiki/File:4x4_magic_square...

   For each square, cells with the same colour (excluding grey) sum to the magic constant. Note *: The second requirement of most-perfect magic squares imply that any 2 cells that are 2 cells diagonally apart (including wraparound) sum to half the magic constant, hence any 2 such pairs also sum to the magic constant. Width: 100%: Height: 100%

4. Magic square - Wikipedia

   en.wikipedia.org/wiki/Magic_square

   The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3. In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.

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. 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.

7. Magic circle (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Magic_circle_(mathematics)

   Additional spokes can be added by replicating the columns of the magic square. In the example in the figure, the following 4 × 4 most-perfect magic square was copied into the upper part of the magic circle. Each number, with 16 added, was placed at the intersection symmetric about the centre of the circles.