Stacking 2D objects creates a 3D object - The return of math threads

So I haven't posted a math thread in quite a while, mostly because I'm out of school and no longer have much inspiration from the things I learn, unless you want to learn about how to fly. But I recently reposted my old Gabriel's Horn thread on a B.shit thread and wanted to follow up and potentially post more regularly.

So refer to my previous thread, and check out the following graph:

The general idea was that we rotate the positive side of 1/x around the x axis to produce an object called Gabriel's Horn, which has infinite surface area and a finite volume exactly equal to pi:


So the point of this thread, then, is to discuss how two-dimensional objects can be stacked to produce a three-dimensional object. That might sound intuitive, but remember that 2D objects lack any thickness. Those circles are exactly 0 units thick, so when you stack them, the resultant object should be 0 units thick (in fact, you shouldn't even be able to stack them, and this is largely an abstract concept rather than a real-world example). Somehow, an infinite amount of nothing results in something.

That's all for now. I'll try to come up with something more comprehensive next time.

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Yeah... anything more complex than Algebra II is beyond my understanding or caring.

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This is the beginning of a math takeover.


We STEM now


OT: I've always just thought it was because an infinitesimal wasn't zero.

So many vocabulary fuck arounds. An "infinite amount of nothing" is particularily entertaining.

If we're to take a physical example of this though, technically you can turn 2d stuff into 3d stuff. Let's say you make a 3d object layer by layer. Of course, true 2d doesn't exist for us since everything we see is 3b based.

But I get your point.

Personally, if we're to take that particular scenario and apply it to universe creation, then it gets a little interesting. Of course the unfortunate thing here is, you've created a topic has so much discussion worth to it that it has none.

Asking any of us why, or how stacking infinite 2d layers of nothing creates 3d, you'll never get any answers because there are none to be found, especially not from this lot. And not much in the way to actually discuss.

It's a question without an answer and, a point, without a point.

How poetic.

OT: I've always just thought it was because an infinitesimal wasn't zero.

This would've been my answer. I was afraid to say it, in case I sounded stupid, though.