Let’s get a little high today! 4th dimension

A lot will argue that the fourth dimension is time so I’ll make it clear, that this will be about the fourth physical dimension. I’m not really sure if it can be called physical as to, we can’t directly fully interact with it.

Before trying to picture a fourth dimension, it is important first to have a clear definition of the lower ones and understand how one dimension can extend to a two dimension, to third until the fourth one. I’ve got these ideas after watching a short animated film called: The Flatlanders. It’s a poorly made movie that is based on a book but nonetheless contains very interesting ideas.

1st Dimension

I can argue that this is not the first dimension but the second, because the first dimension is made by combining several units to form a line. Suppose our world was just one dimension, there wouldn’t be any shapes. You would have no eyes, fingers etc. The space you move in is just an endless tunnel; no left and rights, or up and downs, you only move forward and backward. If you had eyes, it would only see a dot.

If we try to understand that in terms of shape, the world will be a line, and the only thing you can see is a dot, 1 dimension lower. Because there’s a line, we can now have the dimension length

2nd Dimension

Imagine the first dimension as a line, and now we’ll introduce a new dimension by placing lines beside each other; we get a plane. In terms of a shape, we get a square. This is the world of the Flatlanders. Although in the movie, we saw them from the third dimension, in reality they’re just on a sheet of paper. But do they see squares or circles? No. Again like in the first one, they see a dimension lower. They can only see a line with varying colors when there’s movement. From being able to only move forward or backward, now you can move to the left and right, or rotate. From length, now we have width, area, angles and shapes.

3rd Dimension

Now we move up. We generated the second dimension by combining multiple lines. The same method, we’ll introduce a new dimension by a putting the planes on top of each other. And what do we get? The universe we have/know of – A three dimensional space. From the square now we have a cube, and from line as a sight, we can now see in two dimensions. Yes, just two dimensions; our eyes can only see the world like were looking on a picture. Even if we understand that this is a 3 dimensional world, our sight is limited to 2 dimensions

From length and width and area, another quantity is introduced which is volume. No need for long explanations because it’s the universe you live in. Now how do we perceive a 4th dimension?

Dimension_levels.svg

4th Dimension

First, it’s impossible for it to exist, as it is impossible for a square to be inside a line or a cube to be inside a square. But using the previous logic, we would be able to try imagining it. We can try to comprehend it by replicating how we progressed from the first to the third dimension.

We built the second dimension by placing lines beside each other. We build the third dimension by placing the square/2d on top of each other. But we don’t have a word to describe where do we put cube/3d. It’s not beside or above or below. Let’s call it ‘J’. Now we place the cubes J with each other. That’s the fourth dimension.

If we exist in a fourth dimension, we should be able to see in 3d. Don’t even try to imagine as it will hurt your brain. Another interesting thing is if you are on the fourth dimension you can leave the 3d universe but still observe and interact with it. If God does exist, or ghosts, they should be in the fourth dimension.

Good luck in trying to perceive it with your 2d sight
8-cell-orig

Last thing, I think if you can travel to the ‘J’ direction or the fourth dimension, it is possible to move between parallel universes.

Equations

By using simple math, I tried to produce equations for the dimensions and determine the properties of a Tesseract.

P -> No. of Points
L -> No. of Lines
A -> No. of Areas
V -> No. of Volumes
J -> No. of J’s (The new quantity, produced after having a new dimension)

Equations:

Pn=2n
Ln=2Ln-1+Pn-1
An=2An-1+Ln-1
Vn=2Vn-1+An-1
Jn=2Jn-1+vn-1

Ex. A square has 4 points, 4 lines, and 1 area.
With that data, we I can verify that a cube should have
8 Points, 12 Lines, and 6 Areas.
P=23= 8 Points
L=2(4 lines)+4=12 Lines
A=2(1 area)+4=6 Areas

Here are all the quantities based on the equations I made, I’ve been able to predict some properties of a Tesseract.

Dimension P L A V J
1D 2 1 0 0 0
2D 4 4 1 0 0
3D 8 12 6 1 0
4D 16 32 24 8 1

 

Conclusion. A Tesseract should be made of 16 points, 32 lines/edges, 24 areas, and 8 volumes.
Good Luck imagining that!

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Jeffrey Nerona is a neophyte writer, and a future engineer. He discovered how writing can evolve his thoughts instead of just keeping them sealed inside his head. He is always fascinated with science and new technologies. He dreams to travel soon, and witness the coolest techs, theories, and inventions, then meet the giant minds behind them. Despite being in the engineering field, he's also into spirituality like meditation and alchemy. He aims to meet monks and alchemists in his travels to gain wisdom from them. Jeffrey enjoys at least 2 cups of coffee everyday, and occasionally, a bottle of beer.

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