Yang-Hui He

speaker
1,500 appearances 1 recordings 1 series first heard Jan 2025 last heard Jan 2025

Yang-Hui He’s voice in public audio — every appearance, attributed to the second.

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So let's go way back.
And again, you know, I've quoted Gauss, right?
I gotta cook I have to say something about Euler.
So this is a problem.
Again, this is a tr I I I you can see I'm I'm very influenced by three.
The number three.
You know, I'm I'm a total numerologist, right?
Uh Trinity, name you you look name the three three is something, right?
And then there is a there is called the trichotomy classification theorem by by Euler.
This dates to seventeen thirty-six.
So if you look at um so I'm gonna say uh the the the buzzword, which is connected, compact, orientable surfaces.
So these are, you know, I mean the words explain themselves.
You know, they have no boundaries, yes, and they're uh, you know, topologically, you know, whatever the the the the topological surfaces.
So Euler was able to realize that a single integer characterizes all such surfaces.
So this is the standard thing that people see in topology, right?
So the surface of a ball is the surface of a ball, and you can deform it.
You know, the surface of a football is the same as an American football can deform without cutting or tearing.
And then the surface of a donut.
is the same as, you know, the the you know your your your your your cup.
Right, because you know the it's everything that everyone the standard thing, you know, this is it has one handle.
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