The secret of this sequence of numbers is hidden in ordinary light

The secret of this sequence of numbers is hidden in ordinary light

Following is a number pattern for your Monday. Here, Numberphile describes the Kolakoski sequence, which starts as follows: 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2…

At first glance, it may show to be a bunch of dull 1s and 2s. But what’s unusual about the arrangement is that it explains itself–and it does it over and over again.

Have a look at that streak of numbers again, and after that ask yourself: How long are the runs of the same number? There’s:

one 1 (1)
two 2s (2)
two 1s (2)
one 2 (1)
one 1 (1)
two 2s (2)

And so on. Look close, and you may notice something in this row of numbers in brackets: It’s the same sequence with. It is recursive so that you can do the same process and you would find the same sequence all over again. If you are having a problem seeing it watch the Numberphile video. When you see it drawn out, it clicks, and this sequence’s magic leads to some visuals.

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