So you’ve moved the goalposts from “that’s not just participation, it’s [things that participation entails]” to “well this doesn’t apply unless you need it to exist”*. GN needs a major platform like YouTube to actually reach an audience.

* By the way, the comic is illustrating a man with a car that’s seemingly from the 1920s or 30s, so there goes that tenuous argument.

contributing to, and directly benefitting from the very thing they’re complaining about.

You do understand what “participation” means, right? You understand that the original comic is specifically talking about contributing to and benefitting from the very thing they’re complaining about, right?

I agree with your other point that GN should offer more alternatives to watch their videos, but this one is creating a distinction without a difference.

I was just busting your balls. lol

Appreciate it, though.

?referring_host=Reddit

This is a lie. Rebekah is dead, and the cat is trying to lure in more victims.

Earthbound-battle-sprite-lookin’ ass

https://codeberg.org/tenacityteam/tenacity

Bro, you’re getting expelled if the Dean finds out about this.

> programmer

> humor

Congrats, OP, for not giving a single shit.

Personally, I think it’s for the better they remain separate projects for logistical reasons. I also understand why OHM went with CC0 for their license, and it was their (I think correct) choice to make it incompatible with the OSM one.

I know that’s vague, but mainly, I think OHM is better off not having to worry about OSM shenanigans, while OSM is better off being able not to have to worry about historic preservation.

Ah, you’re right. Brainfart. I forgot about that. I guess I can’t think of a way to contract it to a point then.

The hole through the center makes a hole around it inside the mug.

Yeah, the hole through the center is one hole (the “donut hole”). The handle is the other (the “handle hole”).

Topologically, the lip of the mug is a boundary, not a hole. This object is of genus 2 given it’s a 2-manifold.

Edit: The explanation below is the product of a brainfart.

But we can show this assuming the lip isn’t an abrupt boundary and that instead that the outer wall of the inner loop is part of the same side as the outside of the mug (i.e. that you can continuously walk on the surface from the outside past the lip without crossing an abrupt boundary, which more closely matches the physical reality of this mug).~

Watch this: imagine a loop around the hole of a donut. Now try to contract that loop down. Without cutting it, you can’t.

Now take a loop around the lip of this coffee mug. You can contract it to a point by bringing it all over the lip of the mug, then inside, along the outer walls, and then finally down to the bottom of the mug. It all meets up there. No hole. There’s the donut hole and the handle hole, but the colloquial “hole” is either a boundary if the lip is flat or not even a boundary if it continuously curves inward.

Dude, they would’ve had to write me out of the scene. As soon as Jim Rash drops “and all the black man gets is a plate of white lies”, I’m fucking gone.

Fun fact: you can see Gillian Jacobs (Britta) desperately trying (and failing) not to laugh in this Dean scene.

Topologically, that part is not a hole. The liquid basin not being a hole is where the joke in the OP originates, even: a standard coffee mug with a basin for coffee and a handle is homeomorphic (topologically equivalent) to a torus (a donut). And that’s because the handle is the hole, not the basin.

In the case of the OP, ignore the handle for a second just to simplify things. That’s a hollowed-out donut (torus) except that you’ve taken a part of that donut’s surface and cut it out. That area that’s been cut out isn’t topologically a hole; instead, you’ve just created a boundary on the 2-manifold (read: flexible surface).

Topology has rigorous, algebraic definitions under the hood, but that’s what’s going on in this picture topologically: you’ve taken a donut, glued it to another donut, and cut a “hole” (colloquial usage) in the double-donut’s surface, creating a boundary on the surface.

Edit: To hopefully justify this a bit intuitively for the standard coffee mug (not this abomination in the OP), the utilities problem is a classic toy problem in topology that

but

It’s a separate project with a separate license.

Okay, if a torus with a single patch of empty space on its surface is two holes, then this is three holes. But now I’m confused, because I don’t know if that’s true topologically. Otherwise, it’s just a two-torus with a perforation on its 2-surface.

Edit: I’ve been informed by a topologist friend that this has two holes and that the lip of the mug is just a boundary.

Edit 3: Ignore the case below if the lip is a smooth curve. I had a brainfart when thinking through the loop contraction.

Edit 2: So to clarify, that’s a boundary if the lip represents an abrupt transition to either side (i.e. if there’s no “curve” into and out of the mug).

Since that’s less realistic, let’s assume that you can smoothly walk from the interior surface of the mug to the exterior and show that it isn’t topologically a hole for that case either.

I’ve created a continuous loop around the two holes and the candidate “lip hole”. These loops are embedded in the surface of the mug. You can plainly see that you can’t contract the loop to a single point around the handle hole or the donut hole without crossing over the hole.

But now let’s take our blue loop (the lip loop) and trivially contract it down to a point.

1. Our loop is on the outside around the lip.

2. Take the loop inside of the lip since this is still a smooth, continous surface. The loop is now on the outer wall of the inner mug.

3. Now bring the loop down toward the bottom along the wall.

4. Contract the loop to a single point at the bottom.

In this case, it isn’t even a boundary anymore, and it provably isn’t a hole.

I’m hoping that we can skip spleens.

No. Do cool spleen facts. Link to medical research on the spleen. I want to learn more about the spleen; I want an expleenation.

But I’m hoping Dean Pelton stays a while.

(Also, OP, that is= URL parameter is just there for tracking.)