# Concepts of higher dimensions – Part 3 : Higher dimensional objects

Wait! Is that even possible? How does one look at a 4-D object in this world? Didn’t the previous article explain how one cannot see the higher-dimensions in a lower-dimensional world?

Correct, you won’t really see the 4th dimension; but I can still show what it would look like in this world. Just like you can see a 2-D photograph of a 3-D object you can see a 3-D visualization of a 4-D object.

First things first, let me explain how we arrived at the conclusion of how a 4-D object would look like. Obviously no one has ever seen a 4-D object, so this is pretty much theoretical (but interesting!).

'As you can see, we've had our eye on you for some time now, Mr. Jokhi. It seems that you've been living two lives. In one life, you're Firoz Jokhi, program writer for a respectable software company. You have a Social Security number, you pay your taxes, and... you help your wife carry out her garbage. The other life is lived in computers, where you go by the hacker alias Filya, and are guilty of virtually every computer crime we have a law for. One of these lives has a future, and one of them does not.' - The Matrix

Posted on August 27th, 2009, in Analysis and tagged , , , , , , , , . Bookmark the permalink. 30 Comments.

1. I can’t get my head around it lol but when I read Ezekiel chapter one of the four headed beast and the wheels within wheel I can’t help but think Ezekiel is a three dimensional being trying to describe a 4 d one. The other thing is when I think about being a 4 dimensional being I feel you would be able to see things big and small all at the same time. So I could see an ant up close and full perspective as well as the moon without changing focal length not good at describing this and colours in four dimensions move/are alive with their own individual wave like pattern once again hard to describe but I had a vision of it once and it was mind blowing (yes was straight at the time -no substances). Finally just wanted to say that perhaps our issue with getting our head around the Trinity or triune God is the same issue a 3 D person trying to describe and vision a multidimensional God. Thanks for the information by the way I enjoyed it.

2. toto

This is 4 dimensional grace of Jesus christ our lord which we cannot fully comprehend its scope!

• Filya

Very insightful. Thanks :)

3. MUSKAAN JAIN

VERY EASY AND INTERESTING WAY OF EXPLAINING… :) WAS IN DEED VERY EFFECTIVE… I AM A WOULD BE TEACHER AND THIS INCREASED MY KNOWLEDGE A BIT… THANK YOU FOR THIS…. :)

• Filya

Thank you for leaving a comment. I am really happy if this did indeed help you understand better :)

4. Mike

Man, you blew my mind! Nice Work!

• filya

Haha, so glad I did :)

5. snowvil

really nice article. im a math graduate but i left my math far behind after university and got into computers. this article has really got me interested again. nice

• filya

Thanks for reading up. Glad you liked it so much. These are such fantastic theories, but most people don’t sit and think about these things. If they did, they would love to read up more and more.

6. sabih

Wow, nicely explained but its quite hard to imagine a 4D object, and i still cant do it! Oh and that 4D animation looks quite…confusing. But it was interesting reading your article. Ah maybe I will see it in my dream while I am sleeping…oneday :p

• filya

Thank you for reading up and commenting. Glad you found it interesting.
Yes, trying to imagine a 4D object is hard (as this blog already explains), and I myself find it head-beating to try and understand more than 3 dimensions :)

7. This article looks great, but why is the text cut off by the sidebar on the right? Can you see that? Maybe it’s my own issue, browser or such.

I’d like to direct others here….

• filya

Thanks so much for pointing that to me. Something in the theme must have changed, so I switched to another theme to iron that out.
I appreciate you liked it so much!

ps: I am a KCite too :)

8. I really loved your narration skills.It seemed as if I was sitting in a live class and being instructed very carefully.Not even at a single point I felt that I am wasting my time on some greek scripture.After every point I felt I could understand it.But sorry to say now also I am not able to get the 4D image in my head.I will keep trying but you are superb instructor.By the way are there any 5D or 6D dimension also?

• filya

Thank you very much. This does mean a lot to me :)
Yes, its pretty tough imagining the 4th dimension, so you are surely not alone :)

9. Sokheng

Cool about the 4D Dimensional cube.

• filya

Thank you :) Glad you liked it.

10. Kenneth

I truly enjoyed this article. It attempted, and quite successfully I might add, to explain an amazingly complex concept in a way that makes sense to us mere mortals.

I also thought it was amazing ironic, that the displays of the 4-d cube, in a 3-d representation on a 2-d display (referring to my monitor). But in reality would never see the full 4-d cube in 3-d. Think of it this way. If you were to take a sphere, and have it intersect a 2-d plane, such as a piece of paper, at any one point of that intersection you will only see a circle (2d representation of a sphere. So if you lived in a 2d world and a sphere intersected your world, you would see a circle, start at a point, get larger, then smaller, and then a point again.

So if a 4d sphere intersected a 3d world, (such as what we live in) you would see a point appear, a sphere would grow in front of you, then smaller, until it goes back through to the point, then disappears.

Love this stuff.

Loved the article, thanks.

• Kenneth

just realized the last post mentioned that, lol, I didnt read all of the replys, perhaps I should have before posting.

Thanks

• filya

Am really glad you liked it and that it actually did make sense.

11. gk

maybe this explanation: just as is you put a face of a cube onto sheet of paper (2d) it extends behind the paper, if you put a one cube of a terrasect (like one face of a cube) onto our 3d world the terrasect would extend back into the 4th dimension.

also, maybe if we could make a 3d projection of a terrsect, like a 2d drawing of a cube, we could better understand it…

• filya

Hello and thank you for reading up.

Yes, that explanation works to make one understand why you would see only a small part of the whole object if viewed from a lesser-dimensional world.

I wonder if someone has tried working on a 3-d representation of a terrasect. In my opinion, it would look like a cube I guess?

12. Garry

How about fifth, six, …, eleven dimension, infinity dimension?

• filya

Hello and thanks for reading up :)

Very honestly, those (dimensions 5 and over) are beyond my intellect to understand and explain. And I am not even sure if there are infinite dimensions.

There are some pretty good 2D/3D representations of 11 dimensional objects on youtube though!

13. MJ

what next?

• filya

Sorry :( Being lazy

14. MJ

WOW!!!
I see the point and understand how the 4D would be, but I still cant see a 4D (I guess I am still sane)… The images are awesome and the post quite clear.
I know what to think of when I hear 4D – moving cubes…

• filya