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The Magic Square of Sixteen Cells. A New and Completely General Formula


THE ancient problem: To construct a Magic Square with sixteen consecutive integers, may be regarded as a special case of the general problem: To construct a Magic Square with any sixteen positive integers, no two of which shall be identical. The solution of the problem thus generally enunciated throws much new light upon the ancient special one, and will, in fact, enable us to classify and tabulate its 880 known solutions (8×880, if we admit reversals and reflections of the same square to be “different”) much more scientifically than has hitherto been done.

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  1. "Ouvrages de Mathématique." Par M. Frénicle . (La Haye, 1731.)

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BERGHOLT, E. The Magic Square of Sixteen Cells. A New and Completely General Formula. Nature 83, 368–369 (1910).

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