2012-03-14
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A couple examples of how numbers can be infinite and non-repeating, yet still not contain every possible combination of digits (much less with equal frequency!).
Re: "Are Shakespeare's Plays Encoded Within Pi?" /youtube/video/uXoh6vi6J5U
It's easy to invent a number that's
Irrational, it goes and won't repeat,
Yet still won't ever have Macbeth with Cats
Or something short and simple as a tweet.
Imagine you put 1, then 2, then 1,
Then two 2s, one, three twos, one, dot dot dot...
It's non-repeating, and never is done.
But is there "123" in here? There's not.
Take zero, then Oh 1, and then repeat
The last two parts together. Oh Oh One.
And then repeat the last two parts again.
0-1, 0-0-1. Anyway that's neat,
And Pi is still irrational, we're sure.
And transcendental. We don't know much more.
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