Thread: 4D Rubik's Cube
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Re: 4D Rubik's Cube
Old 05-07-2004, 03:39 PM   #15
Rndm_Perfection
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Default Re: 4D Rubik's Cube

Quote:
Originally Posted by Typhoid
( i just want to show-off what i know)
... lmfao.

Quote:
And, Rndm, you say the "4D" Cube is just a bunch of cubes stuck together. But answer me, what is a cube? A bunch of squares stuck together, is it not?

So why can't the 4th dimension just be another direction that we as 3D beings have trouble visualizing?
Hahah, you're trying to get theoretical on the matter without considering the basics.

But, I shall respect the fact that you asked a question. There is more to a cube than "a bunch of squares stuck together". But since I don't know what you mean by "square", I'll give a reason for both possible meanings.

1) If you mean a square is a cube... then yes, one of those big cubes is 27 small cubes... and then the super cube is a bunch of cubes stuck around eachother, where twisting allows one set of cubes to spin around an external axis and attach itself onto another cube.

Take a cube... put a cube on it. Both cubes are in the third dimension. The resulting square cylinder is also in the third dimension. Adding a whole bunch of objects that are in the third dimension together in a three dimensional plane does not give you a new dimension... it just utilizes the third dimension without confining its movements to the second. I do hope you followed.

2) If you mean a square is "two-dimensional" then no, a cube is not just a bunch of squares put together. A bunch of squares put together would make a larger shape, still in the second dimension. A cube is "a bunch of squares" put into a three dimensional plane. To get the second dimension, you need to add an infinite amount of the first dimension... to get every direction as components of two directions. To get the third dimesion, you need to add an infinite about of the second dimension planes to one another. Then, you'll get every component of the three directions.

Included are:
Up, down, left, right, up-right, up-left, down-right, down-left, in, out, in-right, in-left, in-down, in-up, in-up-right, in-down-left... infinitely continued in the third dimension.

I'd like to inform you that the "4D" cube is the standard cube... with cubes placed around it in a 3D plane. However, an illusion is created by placing these cubes on a 2D interface (a computer, for example). The cubes, though they appear to be in a standard, structured cube format, can spin along a sphere.


Why can't the 4th dimension just not be visible? Well, maybe it isn't... how would I be able to defend that there isn't one? But if there isn't one that is visible or noticeable, it most certainly could not be demonstrated by an online java game nor described as the other dimensions are.

But yeah, everything you see... everything around you, can already be described using the three dimensional system in place. It's possible to alter it and add in a fourth dimension... but the three dimensions are sufficient to describe everything that deals with direction.
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