Hypercube animations in up to seven dimensions

Love these little movies (click through below for more) from Tobby Lang depicting hypercubes in up to seven dimensions. Pictured here: a six-dimensional hypercube. You could build a pretty crooked house with one of these. Link (via Rudy Rucker)

[#1 posted by dr.hypercube , June 12, 2008 3:00 AM]

"You could build a pretty crooked house with one of these."
I see what you did there...

[#2 posted by hyperspace , June 12, 2008 4:58 AM]

You can see other hypercubes from 4d-7d:
http://www.4d-screen.de/related-space/intro.htm

[#3 posted by yish , June 12, 2008 5:53 AM]

he also gives out the software:
http://www.cs.sjsu.edu/faculty/rucker/hypercube.htm

Oh! and a novel (creative commons):
http://www.rudyrucker.com/postsingular/

[#4 posted by tofoomeister , June 12, 2008 6:06 AM]

I think 4d-screen.de just got boinged.

[#5 posted by JKLM , June 12, 2008 6:09 AM]

As cool as these things are, they frustrate me because of the innate inability of humans to be able to see past the third dimension, and the fact that a computer screen is in two.
Not to say that I won't lose hours to watching these...And please, point me in a direction so I can understand them better if you can. It would be much appreciated; I've been trying to grasp these ideas for years!

Also, thanks for the novel. I know what I'll be doing at work this week...

[#6 posted by eustace , June 12, 2008 6:44 AM]

Projecting hypercubes onto a 2d surface is old hat. I want a .stl file for a hypercube in 3D!

[#7 posted by gabu , June 12, 2008 9:18 AM]

Uh-oh... flashback... coming down...

[#8 posted by Versh , June 12, 2008 9:27 AM]

I'd have to echo #5, JKLM,
I fail to see anything beyond a psuedo 3 dimensions on a 2 dimensional surface. Since it's an animation, and I'm perceiving it in reality, there's a total of 4 dimensions.
Okay, 4 dimensions, check.
Where are the total six?
Think of this way, where every intersection meets, there's a vertex, and this animation is just a tumbling manifold of vertexes and lines of a psuedo 3d space. One can imagine the x, y, and z coordinates for the vertexes so how can more dimensions include more information?

[#9 posted by Silence , June 12, 2008 9:56 AM]

You could build a pretty crooked house with one of these.

Nice classic SF reference!

[#10 posted by Silence , June 12, 2008 10:06 AM]

Aha! There's even a copy of the story online.

[#11 posted by Tim , June 12, 2008 10:53 AM]

Time Cube is not impressed.

[#12 posted by relain , June 12, 2008 2:22 PM]

Hey, um these arn't actually the hypercubes, they are the projection of the hypercubes into 3d space.

Essentially they're the (3d) shadow you'd get if you shone a light through the object.

[#13 posted by eustace , June 12, 2008 10:14 PM]

Not even that - the projection is really 2d (a flat screen), rotation and time give it more depth.

[#14 posted by Takuan , June 12, 2008 10:23 PM]

B.S.Johnson been kept away from this?

[#15 posted by owenblacker , June 13, 2008 3:59 AM]

What JKLM said…

[#16 posted by Agent 86 , June 15, 2008 2:06 AM]

I'm intrigued. This may become my new muse, as I can feel my mind not quite grasping what is going on, and trying to dreg up some creative explanation.

[#17 posted by Agent 86 , June 15, 2008 2:07 AM]

Also, can we get videos of 4/5/6-D representations of objects other than cubes? I'd be interested in seeing a 5D face, or 6D rose.

[#18 posted by hyperspace , October 10, 2008 12:04 PM]

Here you see projecting hypercubes onto 3d:

http://www.4d-screen.de/art-gal/plastik03.htm