Diabolic square
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A diabolic square is a magic square in which the same sum can be found not only in rows, columns and diagonals, but in a variety of different regular and geometric configurations.
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DiabolicSquare-Order4.png
Image:DiabolicSquare-Order4.png
DiabolicSquare-Order4.png
Image:DiabolicSquare-Order4.png
In this diabolic square, the sum 34 can be found in 86 different ways: rows, columns, the two diagonals, and 70 different geometric ways. For example, the square can be divided in 4 little squares with sum 34. The four corners have the same sum. The four numbers at the center. The two number in the middle of the top line, plus the two in the middle of the bottom line, and the same way on the sides. The broken diagonals also add up to 34. And so on.