4-D shapes

[Mikeus Caesar]

http://fourd.ytmnd.com/

I tried imagining holding one in my hand and my brain melted.

Seriously - what the hell!?

[doc_bean]

4D objects projected on a 2D plane ? Bound to get weird...

[Mikeus Caesar]

http://universe3d.ytmnd.com/

4D objects had one weakness...

[UltraWar]

I've seen the 4D shape one before!

[JimBob]

What is the first dimension? A single line going to infinity in both directions, how do you split it in half? A single point.

What is the second dimension? A plane streaching to infinity in all directions. How do you split it in half? A single line (1D object).

What is the third dimension? A cube streaching to infinity in all directions.
How do you split it in half? A plane (2D object).

So what is the fourth dimension? Something that could be split in half by an infinitley large three dimensional object.

[Glaucus]

If you think about out, there is nothing 1D in the world... everything has at least 2 dimensions if you keep magnifying it.

[Kanaric]

I remember watching something that said the 4th dimention is time, lol. Probably some bad sci-fi though and not anything real.

[Ironside]

http://fourd.ytmnd.com/

I tried imagining holding one in my hand and my brain melted.

Seriously - what the hell!?

Actually there's no problem holding that object. It will simply look like a cube. Where it get's weird is if the object moves through the fourth dimension, as it will suddenly disappear when the cube no longer has a volume in our 3-dimentional space.
A ball is even weirder as it will look llike a regular ball that'll continue to grow/shrink as it passes through our space.

Atleast that's my understanding comparing 2-D with 3-D and applying the changes into 4-D.

[The_Mark]

http://www.kleinbottle.com/
Get yours today.

[The_Doctor]

The 4th dimension is time.

That object at the end only had 3 spatial dimensions.

[ajaxfetish]

At first, I thought 'what a sham, they just stretched a cube to make it seem to go into a new dimension, it's still actually just 3-d.' Then I realized, 'no it's actually still just 2 dimensional, as the third is an optical illusion, or perhaps symbolism of depth.' In that sense, stretching the cube of course doesn't make it an actual 4 dimensional object, but with the 4th dimension being time it makes as much sense to let that final stretching represent motion in time as it does to to let the previous one represent motion into a 3-dimensional space.

Hmm, hope that made sense.

Ajax

edit: In fact, imagining holding a 4-d object in your hand shouldn't be a problem, as technically everything you've ever held in your hand has been 4-dimensional (or more if you're into string theory, but I'm not going there). A pencil not only has 3 spatial dimensions, but exists as time changes as well.

[The_Doctor]

At first, I thought 'what a sham, they just stretched a cube to make it seem to go into a new dimension, it's still actually just 3-d.' Then I realized, 'no it's actually still just 2 dimensional, as the third is an optical illusion, or perhaps symbolism of depth.' In that sense, stretching the cube of course doesn't make it an actual 4 dimensional object, but with the 4th dimension being time it makes as much sense to let that final stretching represent motion in time as it does to to let the previous one represent motion into a 3-dimensional space.

I understand what your saying.

If you think about it, its on a monitor, so it only has length and hight plus time, so it is only has 3 dimensions.

or more if you're into string theory, but I'm not going there

That would be fun, until it kills half of the Org.

[Ironside]

At first, I thought 'what a sham, they just stretched a cube to make it seem to go into a new dimension, it's still actually just 3-d.' Then I realized, 'no it's actually still just 2 dimensional, as the third is an optical illusion, or perhaps symbolism of depth.' In that sense, stretching the cube of course doesn't make it an actual 4 dimensional object, but with the 4th dimension being time it makes as much sense to let that final stretching represent motion in time as it does to to let the previous one represent motion into a 3-dimensional space.

That's why I never called that object not 4-D as I've got no idea how that illusion would look like. I know it got the basics right. Extending a 3-D cube gives another cube as extra corners so to say. Every time the dimension increases, the edges dubbles in number and an equal strukture forms into the new dimension, like in thier demonstration.

And it's 3 room-dimensions and 1 time-dimension, they're separated you know. Wonders if time is actually only a 0,5 dimension, as so far only forward is known.
Now, make a graphical demonstration of how a particle moves through a 3-D space with time and displaying all the particle positions at the same time. You'll get a "snake" through space but how to represent time? (this is possible by "cheating" ) .

Now try to image 2-dimensional time , or better a 10-dimensional space with complex numbers, with 4-dimensional space, making a graphical representation having 24-dimensions

The funny part is that you can calculate on it.

And the formula for a 4-dimensional sphare is 16*pi*r^4/9 and it's volume is 64*pi*r^3/9 and I can prove this
Sadly this won't help displaying a 4-D sphare in 3-D, like the drawing of a cube.

[Moros]

Actually there's no problem holding that object. It will simply look like a cube. Where it get's weird is if the object moves through the fourth dimension, as it will suddenly disappear when the cube no longer has a volume in our 3-dimentional space.
A ball is even weirder as it will look llike a regular ball that'll continue to grow/shrink as it passes through our space.

Atleast that's my understanding comparing 2-D with 3-D and applying the changes into 4-D.

That's if you'd put a 3D object in a 2D world 4D is different. I've found animations about this a long long time ago (I think a year or two) in which showed the 4D equivalent of the 3D cube. It's intresting but verry hard for me to really underdstand it and stuff. Try google, you'll find something.
Also there's that book about 10 dimensions (with time as the 11th) tough I think it's bullocks really. (also has a website with animations)