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Saturn's magic square is defined by numbers 1,2,3,...,9 arranged in such a way that their marginal sums equal to 15, i.e.,
| 4 | 9 | 2 | 15 |
| 3 | 5 | 7 | 15 |
| 8 | 1 | 6 | 15 |
| 15 | 15 | 15 | 45 |
The magic constant, 15, as well as the number 45 are triangular numbers, i.e., numbers that can be represented by a regular geometric arrangement of equally spaced points. Triangular numbers can be thought of as the numbers of dots you need to make a triangle:
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Triangular numbers are found in the third diagonal of the Pascal Triangle
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Cabalists thought that the Saturn's magic square is an instrument of devil. They came to this conclusion by inventing an illogical algebraic operation, namely that a number can be partitioned into its component digits that are additive. In the case of the Saturn's magic square:
| 4 | 9 | 2 | 15 consists of 1 and 5 |
| 3 | 5 | 7 | 15 consists of 1 and 5 |
| 8 | 1 | 6 | 15 consists of 1 and 5 |
| 15 consists of 1 and 5 | 15 consists of 1 and 5 | 15 consists of 1 and 5 |
45 |
By applying this operation to the number 15
| 4 | 9 | 2 | 1 + 5 = 6 |
| 3 | 5 | 7 | 1 + 5 = 6 |
| 8 | 1 | 6 | 1 + 5 = 6 |
| 1 + 5 = 6 | 1 + 5 = 6 | 1 + 5 = 6 |
45 |
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By applying this operation to the number 15,
they converted the margins of the Saturn's magic square
into the devil's favorite number, 666:
| 4 | 9 | 2 | 6 |
| 3 | 5 | 7 | 6 |
| 8 | 1 | 6 | 6 |
| 6 | 6 | 6 | 45 |