Two Non-Repeating Non-Normal Numbers (re: Pi and Shakespeare)

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?" http://youtu.be/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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[Xeroxias]

Nice to know that in 6 months, only 11 more people have disliked this.

[ross817]

I love Vihart's videos. They're like a shot of mathematical espresso.

[Benjamin Timothy]

did anyone's brain hurts after this? i think it's suppose to.

[anticorncob6]

And how do you know they aren't transcendental?

[anticorncob6]

Thanks for the upload. I HATE it when people say that pi must contain all strings of digits simply because it never ends and never repeats. Almost as much as when people use pi instead of tau.

[Chrnan6710]

Rhymes :D

[YourHotSisLikesTBags]

well that excalated quickly :o

[someknave]

Seems like those wouldn't be transcendental though. Although I can't remember how recursive fractions work, research required.

[theoryparker]

What does Pi mean spiritually? Find out at theoryparker.blogspot.com/2013­/02/the-basics-of-pi-ism.html

[mrmimeisfunny]

i has been 1 year since the video got released and 23 people disliked it

[Iphroget]

It's been 3 more months and nobody's disliked it.

[raidslol]

subbed.