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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. 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.

  4. Frénicle standard form - Wikipedia

    en.wikipedia.org/wiki/Frénicle_standard_form

    For each group of magic squares one might identify the corresponding group of automorphisms, the group of transformations preserving the special properties of this group of magic squares. This way one can identify the number of different magic square classes. From the perspective of Galois theory, the most-perfect magic squares (enumerated in ...

  5. Broken diagonal - Wikipedia

    en.wikipedia.org/wiki/Broken_diagonal

    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 way to visualize a broken diagonal is to imagine a "ghost image" of the panmagic square adjacent to the original:

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

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

    Download as PDF; Printable version; ... for magic squares is an algorithm by John Horton Conway for creating magic squares of order 4n+2, where n is a natural number ...

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  8. Strachey method for magic squares - Wikipedia

    en.wikipedia.org/wiki/Strachey_method_for_magic...

    As a running example, we consider a 10×10 magic square, where we have divided the square into four quarters. The quarter A contains a magic square of numbers from 1 to 25, B a magic square of numbers from 26 to 50, C a magic square of numbers from 51 to 75, and D a magic square of numbers from 76 to 100.

  9. Super Bowl Squares: How Much Are Your Numbers Worth? - AOL

    www.aol.com/news/2013-02-01-super-bowl-squares...

    The folks at Minyanville did a comprehensive calculation and came up with the following chart. The numbers are based on a $50 a square game, with a $625 payout for the 1st and 3rd quarters, a ...

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