Eric Weinstein

So the word negative is appearing twice, and that's why we're confused.

Again, you know, there are a million of these gotchas where you're... Can you describe the difference between the two?

Sure.

If I take the tip of my nose...

That's going to be positive curvature because I've got one – Extending out.

One curve going one direction.

The other is going – they're curved in the same direction.

On the other hand, if you look at like the crease of my nose, that's going to be negative curvature because I've got one that's going like this and another that's going like that.

Jamie, is it possible to take a look at a monkey saddle?

So that would be negatively curved, right?

Because you'd have things going in opposite directions.

Okay, so negative curvature is what... I actually have a model of that.

Yeah, so negative curvature would be what we would be talking about with, like, hyperbolic space.

And spherical curvature would be what we're talking about with the inside of those curved linear triangles on his... So he's making, again...

I don't see this as – this isn't where I think it's worth saying he's wrong.

He just doesn't know the language and doesn't know that there's a formalization of it.

Now, if you take, so the other structure that he keeps running across is an octahedral curve linear.

I don't know, it's not really a platonic solid because it's not flat.

So now what he's doing is he's saying, if I have eight bubbles and these bubbles, each face of this object, this octahedral object, he's taking a sort of curve linear triangle on a sphere and he's imagining that these things are all sort of racing towards each other.

and how would you generate... No, no, no.