Abstract
FIG. 1 is an ordinary “Bordered” square consisting of a “Heart” (in the associated position, the three rows, three columns and two diagonals of which sum to 39) and a “Border” formed of complementary numbers (25.1, 24.2, 23.3, etc.). There are 26 such “Hearts” and 605 “Borders”, and, including inversions of the “Borders” and reversions of the “Hearts”, there are 174,240 squares of this type with one inversion that has a similar number. These “Hearts” can be in 21 positions in a square of fifth order, and altogether with these “Hearts” in all their positions, I have calculated that there are more than 649,000 squares of fifth order of this type of “Heart”.
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BURNETT, J. “Bordered” Squares of Fifth Order and their Magic Derivatives. Nature 116, 573–574 (1925). https://doi.org/10.1038/116573b0
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DOI: https://doi.org/10.1038/116573b0
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