Where and How to know the fourth dimension?

Question

Mathematics

Good evening.
I was very interested in the topic of four-dimensional space.
Already watched dozens of videos on YouTube.
I just can't imagine a fourth vector.
How? What? How did the figure turn into a point?
If we also take into account that our eyes do see in two dimensions.
I would like to receive links to articles, videos, books, films.
By the way, in the movie "Doctor Strange", as I understand it, the fourth dimension was also implemented, right?
I also ask you to indicate in your answer whether you can imagine the fourth space?

Answer 1

1. There is no fourth dimension.
2. Our eyes do not see in two dimensions, they observe a stereoscopic three-dimensional image in a plane, these are different things.
3. Mathematical theorems do not need to be presented visually - not everything has a visual interpretation at all.

Answer 2

Have you watched the clip " Imagining the 10th ^dimension " ? They propose to represent the 4th through the movement of three-dimensional space in time, leaving a "trace". Those. a man is a long sausage in 4D, starting with a fetus and ending with an old man. But since we live and perceive only 3 dimensions, we “see” only some current slice of this sausage – ourselves today.

Answer 3

Um, our eyes don't see in two dimensions, it's not like that at all, it's not like that at all. They see a display of three-dimensional space by light on an irregularly shaped "plane", each of them projected by a lens. In fact, this is an important property, because otherwise we would only see the intensity of light around, perhaps shapes, but not a FullHD picture. But that is not all! This is seen by the eyes, each separately, but a little further neurons already operate with shapes, lines, fills. This is very important, while the signal reaches the cortex, the degree of abstraction rises from contrast, lines and shapes to color sensations, objects and their names. This is no less important, since the eyes are one of the necessary conditions for a full-fledged spatial orientation. All this means that we calmly perceive space in three planes. Not even in two and a half, as is commonly believed, but in real, full-fledged three planes. Another thing is that many people do not develop this ability in themselves in any way, because there is no need, and there are still certain limitations, after all, we see only one side, and not through. Generally speaking, if we delve into the terminology, then it turns out that we see in three and a half planes. I wonder what it is? Colour? Why not a separate axis? At least part of it. But this is already a perversion, really. I wonder what it is? Colour? Why not a separate axis? At least part of it. But this is already a perversion, really. I wonder what it is? Colour? Why not a separate axis? At least part of it. But this is already a perversion, really.
What else is there? fourth dimension? Well time? Do we feel it? Well, yes. Memory works for us, more or less. So it's safe to say that we feel all 4 dimensions. Of course, we will not see four dimensions, no matter how you turn. To feel - yes, please, feeling is an ephemeral thing. But vision is one of the sensations, it is very difficult to move it due to the high degree of hardness, so to speak. The software is still being added somehow, but we can’t imagine either new colors or a fourth orthogonal to other axes, except perhaps individual unique ones, but even here it’s debatable.
But otherwise, you can know as many dimensions as you like. You take it and draw axes. Bang, bang. Another one, and a third, and a seventh, and a thirteenth, but at least nine hundred ninety-seventh. How many of them, these measurements. Basically, it's already math. To start imagining this at least somehow, I advise you to try to do topology, in set theory, for convenience, multidimensional spaces are often used. As a mathematical object, it is very convenient for setting various metrics. All this leapfrog is presented in the form of graphs sometimes, and sometimes just as an abstract set, they just called it an n-dimensional space and that's it. For example, a byte can be represented as an eight-dimensional space of bits: indeed, each of them can change independently of the others, so we get orthogonality without prejudice, and the rest is a matter of metrics, that is, technology.
In any case, there is no point in getting too hung up on this. Often interferes, but zero sense. Yes, and your own idea is often difficult to explain to another person, all sorts of cubes, smearing and other heresy begin. Of course, this is not in any way the fourth dimension, it is what is called the image of the projection of four dimensions onto three or even two. There's nothing wrong with that, but it's just worth knowing.

Answer 4

Imagine all the states of a burning match while it is burning. Here you have four measurements for each point.

Answer 5

There are two bodies that are easy to imagine in the 4th dimension: a ball and a cube. Since we do not go into the 4th dimension, but we will draw a projection, then the projection of a 4-dimensional ball into a three-dimensional one is an ordinary ball, and onto a 2-dimensional plane it is a circle.
For a cube, we apply the reverse approach. We take two points (segment) - this is a projection onto one dimension. We duplicate this segment and move it away, we get 4 points, a square. Now we duplicate the square (plane) and expand both squares, we get 8 points - a three-dimensional cube. Therefore, we draw 8 points on a piece of paper (two duplicates of a cube) - this is a projection of a 4-dimensional cube onto a plane. How to draw ribs - guess.