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2. Alphamagic square - Wikipedia

   en.wikipedia.org/wiki/Alphamagic_square

   An alphamagic square is a magic square that remains magic when its numbers are replaced by the number of letters occurring in the name of each number. Hence 3 would be replaced by 5, the number of letters in "three". Since different languages will have a different number of letters for the spelling of the same number, alphamagic squares are ...

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4. 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.

5. 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.

6. Bernard Frénicle de Bessy - Wikipedia

   en.wikipedia.org/wiki/Bernard_Frénicle_de_Bessy

   Bernard Frénicle de Bessy (c. 1604 – 1674), was a French mathematician born in Paris, who wrote numerous mathematical papers, mainly in number theory and combinatorics.He is best remembered for Des quarrez ou tables magiques, a treatise on magic squares published posthumously in 1693, in which he described all 880 essentially different normal magic squares of order 4.

7. 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 ...

8. Lee Sallows - Wikipedia

   en.wikipedia.org/wiki/Lee_Sallows

   Sallows is an expert on the theory of magic squares [1] and has invented several variations on them, including alphamagic squares [2] [3] and geomagic squares. [4] The latter invention caught the attention of mathematician Peter Cameron who has said that he believes that "an even deeper structure may lie hidden beyond geomagic squares" [5]

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