5D Rubik's Cube

[chickendude]

Re: 5D Rubik's Cube

JKPolk is right, but UV rays are a bad example

extra dimensions can't be directly visualized, but they can be represented in less dimensions with distortion

for example: on a flat piece of paper, if you draw a hexagon with some lines through it, it looks like a cube.

A 4D/5D Rubik's cube is a mathematical possibility. Although one cannot be physically constructed, a model of one can (and has been) created on the computer as you can see.

[trillobyite]

Re: 5D Rubik's Cube

JKPolk is right, but UV rays are a bad example

extra dimensions can't be directly visualized, but they can be represented in less dimensions with distortion

for example: on a flat piece of paper, if you draw a hexagon with some lines through it, it looks like a cube.

A 4D/5D Rubik's cube is a mathematical possibility. Although one cannot be physically constructed, a model of one can (and has been) created on the computer as you can see.

To a person living in a flat world, however, that hexagon would not appear to have depth. I don't know, maybe you're right, but I just don't trust a computer to devise something that so many theories battle over. I mean, some say the 4th dimension is not even a component of space (thats why space is referred to as space-time continuum usually).

[MonkeyFoo]

Re: 5D Rubik's Cube

But it doesn't matter that people battle over how many dimensions there are, or what each one is, or especially what order they go in. This is becase the program is representing fully five spatial dimensions in calculation, though it only represents them in two.

[T0rajir0u]

Re: 5D Rubik's Cube

Pretty much everyone here is confusing extra dimensions in physics with extra dimensions in geometry.

Stop it. Now.

Extra spatial dimensions are very easy to describe mathematically. All you have to do is assign an extra coordinate to every "point" you talk about. In physics, using the "time" coordinate as another dimension gives what most people refer to as "the fourth dimension," which is a misleading characterization. In mathematics, four spatial dimensions is just an extension of the leap from two dimensions to three dimensions, and it has nothing to do with time. You have "a fourth spatial dimension" that just tacks on an extra coordinate to each point, and you can also have "a fifth spatial dimension," ad infinitum.

High-dimensional geometry is completely coherent mathematically, nobody argues about it, and a computer is entirely capable of doing it. (In fact, high-dimensional geometers will tell you it's actually easier to deal with than low-dimensional geometry, since there are so many more constraints on possible shapes). And it has nothing to do with physics or with time.



There isn't an easy way to represent a 5D object in a 3D universe. You all know about ways to represent a 3D object in a 2D universe (your computer screen, pieces of paper, etc.), though. Those are projections of higher-dimensional objects into lower dimensions. Shadows, as it were.

It wouldn't be very easy to come up with the 3D-shadow of a 5D object, much less a 2D-shadow. The representation is likely to be extremely confusing, since it would be the shadow of a shadow of a shadow.



Edit: To say that "humans cannot comprehend the fourth dimension" is to have an extremely arrogant idea of what the rest of humanity can and cannot do. It's true that the human mind can't visualize four-dimensional space.

But since when have you needed to visualize something to be able to do calculations about it?

[flamingspinach]

Re: 5D Rubik's Cube

Sure you can visualize 4-dimensional space. Think of a point intensity field. 8) But yeah, trillobyite, you obviously don't seem to realize that 3D stuff on computer screens is (OMG) a projection of a 3D object ont a 2D screen. In the same way you can project a 5D object onto a 3D model which is then projected onto a 2D screen. T0rajir0u, might want to fix your double post

[sleeplessdragn]

Re: 5D Rubik's Cube

Where is Cenright? He definitely needs to get a hold of this.

[trillobyite]

Re: 5D Rubik's Cube

Sure you can visualize 4-dimensional space. Think of a point intensity field. 8) But yeah, trillobyite, you obviously don't seem to realize that 3D stuff on computer screens is (OMG) a projection of a 3D object ont a 2D screen. In the same way you can project a 5D object onto a 3D model which is then projected onto a 2D screen. T0rajir0u, might want to fix your double post

The truth is, I know nothing about physics and theoretical geometry, nor computer design. I was testing to see how long it would take until I would be exposed for the fraud that I am knowing absolutely nothing about dimensions that is relevent to the thread. Good job flamingspinach, t0rajir0u. lol

[FFR4EVA_00]

Re: 5D Rubik's Cube

^that critical thinking does not make

[FFR4EVA_00]

Re: 5D Rubik's Cube

The edit function is not working for me as of now, so I am forced to double-post.

The truth is, I know nothing about physics and theoretical geometry, nor computer design. I was testing to see how long it would take until I would be exposed for the fraud that I am knowing absolutely nothing about dimensions that is relevent to the thread. Good job flamingspinach, t0rajir0u. lol

That critical thinking does not make. Don't do it again.

Anyway, 5D hypercubes are pretty hard to project as 3D objects on a 2D screen. You have to give the creator of that site credit for doing that.

[laughsitup2005]

Re: 5D Rubik's Cube

Are we trying to predict the future, trying to be in a future, or just trying to be idiots. Request lock. We live 3-D and lets keep it this way. But I will still give props for the 5-D thing. Look at my 5-D world. :::::DDDDD

[FFR4EVA_00]

Re: 5D Rubik's Cube

Are we trying to predict the future, trying to be in a future, or just trying to be idiots. Request lock. We live 3-D and lets keep it this way. But I will still give props for the 5-D thing. Look at my 5-D world. :::::DDDDD

I second the lock.

trillobyite killed the thread.

[JKPolk]

Re: 5D Rubik's Cube

Are we trying to predict the future, trying to be in a future, or just trying to be idiots. Request lock. We live 3-D and lets keep it this way. But I will still give props for the 5-D thing. Look at my 5-D world. :::::DDDDD

Request lock? Why? This hasn't gone off topic at all, and it's definitely not a flame war.

[trillobyite]

Re: 5D Rubik's Cube

I second the lock.

trillobyite killed the thread.

Wow, you just devoted 3 full posts towards me. Take a look at the posts behind mine excluding the OP, and then decide again whether or not I've debased or killed the thread. Instead, I've boosted its post count and thus viewings while staying on topic and not resorting to insults and flame war. Just think how many more people would now wish to see the 5-d cube after watching a belligerent arduously claim that 5 dimensions cannot be represented on screen; now many more would wish to see if it is real or not. Not to mention that the responses directed towards me delved deep into the nature of physical and geometrical dimensions and did, in fact, contribute to the mathematical and higher-level of thought evident in this thread. The only instance of true swaying from the topic is appearing with the lock requests you are buttressing and this post countering those requests. I say we keep the thread going and continue talking about the nature of the puzzle the website has to offer.

[flamingspinach]

Re: 5D Rubik's Cube

Stop using words you don't know the meaning of. It makes you look like a spectacular dumbass.

[laughsitup2005]

Re: 5D Rubik's Cube

Wow, and I thought I was the dumbass for making threads on glitches. LOL. But my post wasn't about the killing of post or being off topic. It should have been left alone after the 5-D cube hyperlink and a few comments. We did not need an entire room of people saying (Oh look how cute that 5-D thing is). Especially when it's just a rubik's cube. Maybe that's a little more than pushing the button, but it's the truth.