Infinite Binary Trees

So I thought this week I might remember what it is like to be a Vihart-brand Vi Hart and make a regular ol’ flat youtube video about a math thing. Also I came across this script I wrote last year that was supposed to be the next follow-up to the infinity series, and all it needed was a little editing (and then all the production, but that’s the easy part).

So yes, a little musing on infinite binary trees, the next in the series after:

How many kinds of infinity are there?
Proof some infinities are bigger than other infinities
The Reverse Cantor
Transcendental Darts
and now, behold: Infinite Trees Are Super Weird

That is the thing I did. The end.