Abstract
MAGIC SQUARES having certain properties were known to the ancients. In modern times they have been studied by mathematicians since Albrecht Diirer's celebrated magic square picture of 1514. A magic square of order? involves in its cells the first n2 natural numbers in such manner that the sum of the numbers in each row, column and diagonal is the same. Certain of these termed “pandiagonals “introduce the broken diagonals possessing the same additive property. If also every pair of numbers equidistant in a straight line from the centre have the constant sum n2+1, the squares are further specified as associated or sym-metrical. Squares are said to be doubly magic if the properties held show the numbers are replaced by their squares. Again, prime numbers exclusively and the knight's path, etc., have been introduced and the squares, to some extent, studied.
Hyper and Ornate Magic Squares, 15th and 16th Orders.
Constructed by Major J. C. Burnett. Pp. 36. (Grantham, Lines.: The Author, Barkston, 1924.)
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M., P. Hyper and Ornate Magic Squares, 15th and 16th Orders. Nature 114, 821 (1924). https://doi.org/10.1038/114821a0
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DOI: https://doi.org/10.1038/114821a0
