It's worse. It's the projection of a 3d shape onto a 2d shape, which is then captured on a different 2d shape to be displayed to us.

It also has a brief 4d dimension, sliced at the second the picture was taken.

thatsthejoke.jpg

But what's the time equivalent flashlight?!

There is the cool idea of showing how different dimensions, in our situation where fully visualizing a fourth dimension is fundamentally impossible, could potentially look. Like, yes this is obviously not going to show us a fourth dimension but looking at how a 2D plane can actually be a 3D space if you have the capacity to see it is kinda neat. It’s as close as most people are going to get to visualizing a fourth dimension.

You’re so focused on how this isn’t a literal representation of something fundamentally impossible to represent that you forgot to exercise your imagination even a little bit.

What if I were to tell you you're supposed to extrapolate the concept instead of taking it absolutely literally?

In the Beyond section of Bed Bath and Beyond

I mean typically people refer to planes as hyperplanes once you go past 3D, but I’ve definitely heard them just called “planes” too

Hyperplanes are just a generalization of planes to higher dimensions. Often you hear the term when working with vectors because, like in 3D, you can define an n-dimensional hyperplane by a surface normal vector and a point. All lines perpendicular (orthogonal) to that normal vector which pass through the point form the plane.

It’s a useful concept and since we already have a word for that kind of structure in 3D space we just use the same term for it in other dimensions

Hmmm. I don’t think so but I do think it is incorrectly used here. To me, the 3rd dimensional plane would just be the z axis. If you were talking about the entire 3D shape which they are here, I would just say 3rd dimension.

I thought it was carbonated?

when described in a Euclidean manner, yes

If you can keep time for more than 4 hours, be sure to go to the doctor.

Um, hypothetically speaking, for a ah friend, if I wanted to STOP slipping into the ever deepening abyss of further levels of hell, how might I, oh I mean my friend, accomplish this?

Will it work on my 4d printer or will I have to project it down to 3d first?