Abstract
IN the issue of NATURE of Jan. 14 I gave the smallest ‘associated’ rectangle, consisting of 3 rows which has the property of the diagonals one way summing to the same as the rows. This was with nonconsecutive numbers. The smallest associated rectangle with consecutive numbers is: In this associated rectangle, the rows and the diagonals from left to right sum to 126, the columns to 42. But as with order 18 rectangles 6 × 3 the diagonal requirement is not necessary as associated pandiagonals with subsidiary rectangles 9 × 3 can be made otherwise.
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BURNETT, J. Subsidiary Rectangles as applied to the Formation of Magic Squares. Nature 121, 172 (1928). https://doi.org/10.1038/121172a0
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DOI: https://doi.org/10.1038/121172a0
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