| Math Logic |
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| Question : |
| What
is a 'Diabolic Magic Square' ? |
Answer : |
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The Diabolic Magic Square also, known as the Pandiagonal Magic Square,
pandiagonal magic square, diabolic square, diabolical square is the one that satisfies the condition that the
square should be magic along the broken diagonals as well as along the two ordinary diagonals. |
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In other words, if a Diabolic
Magic Square is cut into two pieces along a line between any two rows or any two columns, and the two pieces are interchanged,
the real square so formed will also be pandiagonally magic.
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| 15 |
10 |
3 |
6 |
| 4 |
5 |
16 |
9 |
| 14 |
11 |
2 |
7 |
| 1 |
8 |
13 |
12 |
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In the magic square given here, the sum of the numbers in each row, column and in the two diagonals is 34. And the sum of the
numbers in the six broken diagonals formed by the numbers 15, 9, 2, 8, the numbers 10, 4, 7, 13, the numbers 3, 5, 14, 12 the
numbers 6, 4, 11, 13 the numbers 3, 9, 14, 8 and the numbers 10, 16, 7, 1 all added upto 34.
A similar Diabolic Magic Square was inscribed at Khajuraho, India, around the twelfth century. |
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