Abstract
WITH non-consecutive numbers it is possible to make an ‘associated’ rectangle 8 × 3. It is not possible to do so out of the first 24 consecutive numbers. In using this ‘associated’ rectangle 8 × 3 to form a magic square also ‘associated,’ and ‘pandiagonal’ with subsidiary rectangles 8 × 3, it is further necessary that the 3 diagonals one way should also sum to the same amount as the rows. This is so in the following rectangle, where the rows and the diagonals from left to right sum each to 120 and the columns each to 45.
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BURNNETT, J. Subsidiary Rectangles as applied to the Formation of Magic Squares. Nature 121, 57 (1928). https://doi.org/10.1038/121057a0
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DOI: https://doi.org/10.1038/121057a0
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