Folding Cubes and Hypercubes

[sup2069]

Found this nifty site that shows what 3d and 4d cubes look like being folded.

In my opinion it is best to view the 4d one first, then look at the 3d one. You would then understand the 4d one much easier that way.


Click here

[cedrec]

pretty cool, except the 3d cube isn't really a cube. If you look at the shadow, the four sides are not squares, or maybe it was done that way so it's easier to understand what's going on. If that's not the case, than a 3d cube can't physically fold that way. Of course I'm going off about something that really doesn't matter. I like the 4d one too, pretty neat.

[Geosphere]

Cedrec, its an orthagonic explosion for the shadow. Not an uncommon mechanical device to make things like this clearer.

[Nick]

Whoa! This helps me better understand 4d by alot.

I wonder why they showed the cube folding and unfolding, but they only show the hypercube fold up?

[pat]

Cedrec, in the top diagram, there is a light above the cube that's casting the shadow. A square can cast a trapezoidal shadow on a plane.