Heh I don't really understand it. Geometry was never my strong point. But I got many years of math left to go, and congrats to whoever did it.

heh, 4d geometry never was my high point

Sticking rubber bands around doughnuts isn't mine either... I eat them. And what does that have to do with 4D geometry? *whimper*

A normal old sphere like a baseball is a 2-sphere. Now try to picture a 3-sphere.

here is a 4 dimensional cube. it bothers me. i dont want to begin to think of what a 3-sphere looks like. i would shoot my self.(ohh, and on this page is the sourse code for the program that draws it, someone definately needs to make it in to a calc program)

Jeeze! Talk about a mind trip. If I had a little more time to think about that I might understand why it looks like that, but not right now.

it looks like that, because there are 3 cubes intersecting at each vertex, just like a normal cube has 3 squares intersecting at each vertex. i still cant picture a 3-sphere

Okay, now it makes more sense. Thanks

I knew that... but my mind is still too small to comprehend such a thing ;)

Same here ... I STILL don't see the cubes intersecting ... I just see something that looks like a hexagonal prism ... oh well, I'll leave it to the mathematicians to mess with 4D stuff. I'll stick with the 3D.

I'll stick with 2D, thank you :)

But, 7d stuff is so fun!

To see the intersections you have to drag with the right mouse button.

thanks for the explanation. now i can understand why it looks the way it does, but a 3-sphere is still disturbing

talk about an acid trip. this is more confusing.

ok, THAT made me dizzy. i'm going to go throw up now.

"someone definately needs to make it in to a calc program"

I've already tried, with minimal success.

Oh yeah... I think I remember that.

Whoa... that's... interesting. Who thought up that anyway? It doesn't seem logical since in real life, there's only three dimensions.

There are only 3 dimensions that we can see. But it is likely that many more exist. Most theories that deal with things at the atomic or subatomic level (such as string theory) require many more than 3 dimensions. Then there is Hilbert space, which contains infinite dimensions.

I know that there have been either at least 10 dimentions proven or theorized to exist. BTW some guy determined that from the book of Genesis.

Considering we an use time as the 4th dimension:
Try to picture a sphere as a circle growing first fast then slow 'till it's at it's max, then shrinking slow then fast, 'till it's infinitely small...

Now make it a spere growing and shrinking, and you've got yourself a 4d-sphere/disk or whatever it's called in 4d....

time is the 4th dimension of space-time. not the 4th dimension. It is different. Dimensions in space have units of meters.

I hate the fact that the US does not use the metric system. There are too many people with IQs too low for the actual switch to occurr in this nation.

I live in Tennessee, and I use the metric system daily. I think it is much easier than the US system.

1 mile=?!?yards
VS
1 kilometer=1000 meters

:¬)

It's impossible. If anybody's ever read the book FLATLAND, they would know why.
First, imanage you live in a 2-dimensional world. It would be impossible to try to show what a sphere looks like with only a circle. Just like it is impossible to show what a circle looks like with a line, if you existed in a 1-dimensional world.

look at a 3d picture, it is flat, there are only 2 dimensions. but you trick your eye into seeing 3.

then how come we can see four dimensional cube on a 2-d computer screen when you follow the link to the web site of the guy who first replied to the same post you replied to? -ha-