Tuesday, August 10, 2010

[hgatfohc] Reciprocal 7

Consider digits 1 though 9 arranged in a cylindrical pattern

1 2 3
4 5 6
7 8 9
1 2 3
4 5 6
7 8 9

The repeating decimal expansion 142857 of 1/7 traces out a parallelogram on the grid, only always traveling to adjacent digits.

The digits that are a multiple of three, 0369, are not used.

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