We’ve never seen anything 2 dimensional. Everything we can see has some form of all 3 dimensions in it. Even shadows are 3 dimensional. We conceptualize them as 2 dimensional on a wall, but they have depth. (Think of how when you see a line it’s actually 2 dimensional due to the width of the line, then apply that concept to depth as well)
A shadow is not the same as a line drawn by a pencil. And a 2d line can be for example the contrast of two colours, the “line” that delimits an object from your perspective - these are no drawn lines with any width, they are not there as full 3d objects. I would think a shadow is a similar case, just as a film projection. It has no thickness.
Well shadows are the absence of light, so defining them is a little weird, but they exist the entire distance from where the light source is interrupted to where they are projected on, same with projections, it’s not just what’s on the screen, but the light the whole way to the screen.
Even ignoring that, the surface that a projection lands on has texture and depth.
Well, you can definitely ignore that and just take thw projection and view it as something 2d. The fact that the surface is structured doesn’t mean the projection is not 2d - it is 2d curved in the 3d dimension, just like a 1d line can be curved without gaining any thickness. Just like our 3d space is curved.
If you look at a sheet of paper on edge, you can see a poor man’s representation of one dimension, while hiding an additional dimension, made in the only way you can actually have a thing to hold with yet one more
Edit: make guillotines great again, or whatever the tesseract deems uncouth
A tesseract is a 3 dimensional representation of a 4 dimensional body. The fact that a tesseract has to be animated to show all of its 4 dimensional vertices in 3 dimension is an act of shaming 3 dimensional space for being “less than”. Frankly, I don’t stand for this type of body shaming.
Please read the sidebar rules before posting. Posts to this Lemmy community must be exclusively represented in 3 dimensional space.
Technically speaking, all images are 2d projections
YOUR MOMS BRA SIZE IS A 2D PROJECTION
Well yeah, that’s how it fits on the tag.
And this is a 2d projection of a 3d projection of a basic 4d shape that we literally cannot comprehend
It’s not. The walls shown here are impossible, get clipped, but the shape itself is 3D.
No, they’re right. A gif is a 2d projection of a 3D shape. The 3D shape that’s being projected is itself a projection of a 4D shape.
Don’t know what you are talking about. I can perfectly comprehend it, it’s a gif with moving colours.
We’ve never seen anything 2 dimensional. Everything we can see has some form of all 3 dimensions in it. Even shadows are 3 dimensional. We conceptualize them as 2 dimensional on a wall, but they have depth. (Think of how when you see a line it’s actually 2 dimensional due to the width of the line, then apply that concept to depth as well)
A shadow is not the same as a line drawn by a pencil. And a 2d line can be for example the contrast of two colours, the “line” that delimits an object from your perspective - these are no drawn lines with any width, they are not there as full 3d objects. I would think a shadow is a similar case, just as a film projection. It has no thickness.
Well shadows are the absence of light, so defining them is a little weird, but they exist the entire distance from where the light source is interrupted to where they are projected on, same with projections, it’s not just what’s on the screen, but the light the whole way to the screen.
Even ignoring that, the surface that a projection lands on has texture and depth.
Well, you can definitely ignore that and just take thw projection and view it as something 2d. The fact that the surface is structured doesn’t mean the projection is not 2d - it is 2d curved in the 3d dimension, just like a 1d line can be curved without gaining any thickness. Just like our 3d space is curved.
A shadow is a 2d projection of a 3d object projected back onto 3d space.
Two dimensional projections can be represented in three dimensional space. Even single dimensional entities are welcome here.
If you look at a sheet of paper on edge, you can see a poor man’s representation of one dimension, while hiding an additional dimension, made in the only way you can actually have a thing to hold with yet one more
Edit: make guillotines great again, or whatever the tesseract deems uncouth
But tesseract is in 3-dimensional space.
A tesseract is a 3 dimensional representation of a 4 dimensional body. The fact that a tesseract has to be animated to show all of its 4 dimensional vertices in 3 dimension is an act of shaming 3 dimensional space for being “less than”. Frankly, I don’t stand for this type of body shaming.