Pascal's triangle

You can easily develop Pascal's triangle, by writing successive powers of the number 11.

Is that pure coincidence?

Explanation

You can calculate the powers as 11⁰ = 1, 11¹ = 11, 11² = 121, 11³ = 1331, 11⁴ = 14641. But this does not continue for ever. So it is only fun to see.

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

A row can be calculated from the row above, as by

That is a multiplication by 11 because 11 × 121 = 1331. If you insert spaces between the digits Pascal's triangle emerges. The decimal system is really surprising.

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