600-Cell

[MrSam719]

I would do anything to see things in the 4th dimension

[Lolocaust41]

hmmm, when you rotate it it appears to be going through the sphere itself. I can officially say Wormholes exist in the 4th dimension. I mean it makes sense right? Wormholes are shortcuts through space and in 3d it dosen't make sense. (wormholes go straight to other parts of the universe in a short amount of time. The vertices go through the object when rotated in 4d.

[ZombieBlobs]

but can it blend?

[bulinger96]

4d icosahedron?

[Meb8Rappa]

@bulinger96 Yes. 4d icosahedron.

[Meb8Rappa]

@bulinger96 Yes.

[RoboticusMusic]

Is it soap?

[spirta1000]

wow das sind eindeutig zu viele Dimensionen für mich

[akamarutv]

I want to buy one and put it in my living room :D

[JoozThoom]

this thing moves in4D, thats why some cells seem to be missing sometimes O_O

[rendubot]

pull off 6000 and I'll be impressed

[LAEXCITOSAAPARECIDA]

In an Octahedron note the 3 interior Squares (and in a square the 2 diagonals).

Square into Octa - put a point in center move it perpendicular in 3D by 0.866 this makes 4 equi triangles. Move the point opposit direction makes the mirror 4 triangles. Octa into 4D: Put pt in center. Move away in 4D get 8 Tetras. In mirror direction get the other 8. There Are 4 Interior Octahedrons that show its shape just as well as its surface Tetras do. 1 Octahedron with its 3 Interior Squares becomes these 4

[FILTER626]

There are 2 alternate ways you might feel:-1 You really love to see things like this '600-cell' and your hobby is drawing things in more than 3D.

-2 You have too much time and you got bored.

[WildStar2002]

@FILTER626 Or (as in my case) it could be BOTH! :-)

[bioniclefan4life]

How many dimensions is that?

[WildStar2002]

@bioniclefan4life It's 4-dimensional. 600 tetrahedra clustered in groups of 20 around each vertex! :-)

[bioniclefan4life]

@WildStar2002 *eyes spin* Wow. That's a lot of tetrahedrons. So the hyperwhatever has 30 4-dimensional vertexes? And a normal, 3-dimensional tetrahedron has four 3-dimensional vertexes, correct? So this is sort of like a 4-dimensional tetrahedron? Or is it tetrahedrons put together around a 4-dimensional shape?

[WildStar2002]

@bioniclefan4life How'd you do thay eye-spinning thing? >;-) Yah, a *lot* of tetrahedra. The number of 4D vertices is actually 120 - each tetrahedron has 4 vertices. This object is more like the 4D version of an icosahedron (20-sided 3D object) with the tetrahedra playing the role of the triangles. The 4D analog of the tetrahedron is a much simpler object - 5 tetrahedra in clusters of 4 around 5 vertices. :-) It's called a pentatope, pentachoron, or a 4-simplex.

[Cibort]

Eso esta mal, por que matematicamente el tiempo no es una dimension geometrica, ademas la geometria es la rama de la matematica que estudia la figuras que no se alteran ante el movimiento, y esa figura se altera ante el movimiento, tal vez topologicamente este en esa area, pero no geometricamente.

[WildStar2002]

@Cibort Exactamente! Yo lo he estado diciendo! El tiempo no es una dimension. Cuando yo hablo sobre el cuarto dimension, esto hablando sobre una nueva dimension geometrica. Esa figura no cambia su forma durante el video - solamente aparace cambiar porque nosotros estamos viendo una proyeccion perspectiva desde cuatro hasta tres dimensiones. :-)

[Sanksion]

@WildStar2002 mi espanol es porro, disculpame, no podemos dibujar un objecto que existe en 3D sobre un plano en 2D sin cambiar las angles del objecto para representarlo. Esta muy buen. :)

[WildStar2002]

@Sanksion Si - es un proyeccion perspectiva. (Eres perdonado - espanol tampoco no es mi langua nativa - pero peor hablo frances - C'est dammage!) :-)

[hardhitter0421]

I have read comments on this thread...

Windstar2002,

some people are having inferiority complexes and self esteem crap going on...

WindStar2002: which came first the inner or outer cell? huh..quickly

You twist this thing so there is no beginning and no end, but there is,

Freeze frame 0:16, I see the beginning...

It looks like it is rolling Westward when in FACT it is not...

0:25 change in direction..

Anyone knows a Vertuphere Domocelluar Idiumsium Angle-zium,

is all this really is..sorry.

[WildStar2002]

@hardhitter0421 There are no inner cells in this object. They are *all* outer cells. The cell closest to the virtual camera appears to be outside all the others, but that's just 4D perspective. :-)

[hardhitter0421]

@WildStar2002

Yeah well...I see it!

Maybe you didn't want anyone to find it...huh...

cat's outta bag, buddy.

Like I said " I knows a Vertuphere Domocelluar Idiumsium Angle-zium", when I see one.

[WildStar2002]

@hardhitter0421 You let the cat out of the bag? Is it okay? You're just lucky... that was Schrodinger's cat, and I left him in the bag because I was afraid that if I observed him he would be dead. Better a superposition than death!  You need to be more careful!

[hardhitter0421]

@WildStar2002

Actually, Schrodinger needs to be more careful!

Schrodinger should be reported for his mistreatment and inhuman consideration to felines.

Most scientist seek less negative publicity

They usually use rats or mice.

I bet the cat was without food or water or even kitty litter...

No wonder it was half dead...Tuh

Schrodinger's theories...it is just Yin/Yang stuff.

He should join KFC, oh.. he's against steroids/hormone use?

WindStar You did good-thank you from all us kitty lovers

[hardhitter0421]

@WildStar2002

Where did you learn your cell stuff from..Apex?

Just from a 4D perspective?

Are you Occluted Diprositic with Giphilotrion's methods?

When was the last time you saw a virtual 600 cell with dust on any cell?

Man...

[WildStar2002]

@hardhitter0421 It's just a 4D perspective. I don't know what Apex is. I also don't know what an occulated dystopic gilphoprion is.  4D objects don't stay still long enough to collect dust, so I've never seen a dusty one.

[hardhitter0421]

@WildStar2002

Relax...mom used to hang these off our old lamps when I was a kid. We used to look through them and see 20 of everything, they got dusty and mom would clean them once a year...no biggie.

[hardhitter0421]

@WildStar2002

An "occulated dystopic gilphoprion" is my term for a vacuum cleaner and cleaning.

Q: So when I ask: Are you Occluted Diprositic with Giphilotrion's methods?

Translation: Do you use do housework using a vacuum cleaner?

[WildStar2002]

@hardhitter0421 Naw, vacuuming sucks.

[hardhitter0421]

@WildStar2002

Normally I would agree, however I am addicted to my "Dyson"

It is the closest thing to a hand held Black Hole I own.

[WildStar2002]

@hardhitter0421 Ha! At first I thought you were talking about a Dyson sphere! :-)

[hardhitter0421]

@WildStar2002

What makes you think I am not?

I mean, where do you think Dyson's come from...?

Canadian's come from...where______________?

New Yorker's come from where______________?

Dyson's come from where________________?

Now I know why the strings go UN-noticed....

[WildStar2002]

@hardhitter0421 Canadians come from Scandinavia, Eastern Europe, and Asia, New Yorkers come from Holland, Ireland, and Central America, and the Dyson sphere was created by a race of super-intelligent beings that needed all their sun's output for energy. So...

[WildStar2002]

@I4mSh4d0w Just not smart enough to understand, you say! - and yet you got it exactly right! :-) They appear to be self-intersecting only because we lose information projecting a 4D object into just 3 dimensions.

[bearr7]

OFF THE HOOK

[WildStar2002]

@bearr7 I'm glad you like it! :-)

[WildStar2002]

Bananas! That's some pretty strong language there, bud... >:-) I don't remember exactly how long it took to render - several days anyway. Of course it was actually made about 5 years ago. :-)

[SharkRetriver]

I still remember the time in grade 6 when I thought that the cells continued on forever because the cell in cell effect-and the time in grade 5 when i thought that there were no such things as polyhedra that had intersectiong polygons

[WildStar2002]

Of course -these- cells are not intersecting each other, but there are polytopes and polyhedra where they -do- intersect. I'll bet you were very excited to learn about the Kepler-Poinsot solids and all 80 uniform polyhedra, eh? :-)

[SharkRetriver]

I thought the kepler-poinsot solids were made out of triangles!!! im in grade seven now so i know my polychora and polyhedra and polyga lol and 1-dim and 0-dim

[WildStar2002]

Ah, I thought so too for a very long time. Only the Great Icosahedron is made up of triangles. They are intersecting. The Great Dodecahedron is made up of intersecting pentagons, and the other two are made up of intersecting pentagrammic faces. I think it's easiest to see in the Small Stellated Dodecahedron, you should be able to see the 5-pointed star shapes that make up it's twelve faces. Pretty cool, eh? :-)

[Barakeya]

are you sure this is 600 cells

[Jahan917]

I think its cells within cells, you wouldn't be able to "see" all of them

[WildStar2002]

@Jahan917 - The cells within cells effect you describe is due to the projection into 3-space. In 4 dimension, there is no such intersection. :-)

[Jahan917]

So there is really no interesection, it's all just the same thing on a 3d space, still it's not possible to see them all from this "perspective"

[WildStar2002]

@Jahan917 - Yes that's exactly right. :-) It's like when you see a video of a rotating cube? The lines cross each other on the screen, but you know from experience that they're not really crossing each other, the squares that make up the faces are not changing shape or moving, it's just the way it looks in perspective. The same thing is happening here, only we have no real-world experience with 4-dimensional perspective. Does that make any sense? :-)

[WildStar2002]

@Barakeya - I'm quite sure all 600 hundred cells are there. It's way too many to really count them all visually, I think, but since I wrote the program, I can assure you they're all there. :-)