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Download as PDF; Printable version; In other projects ... 260 is also the magic constant of the Franklin magic square devised by Benjamin Franklin. 52: 61: 4: 13: 20 ...
Self-complementary magic square when it is a magic square which when complemented (i.e. each number subtracted from n 2 + 1) will give a rotated or reflected version of the original magic square. Associative magic square when it is a magic square with a further property that every number added to the number equidistant, in a straight line, from ...
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]
A magic square is in the Frénicle standard form, named for Bernard Frénicle de Bessy, if the following two conditions hold: . the element at position [1,1] (top left corner) is the smallest of the four corner elements; and
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.
Mr. Franklin was a great fan of magic squares, and created quite a few HUGE (16x16, 24x24) magic squares with a number of interesting attributes. I also recall a magic square that had to do with the 365 days in our year.
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