3 dimensional equivalent of 3x3x3x3 hypercube

[Deleted member 15503]

Hi!

I was wondering if there could be a 3 dimensional twistypuzzel that corresponds to the same group as the 3x3x3x3 hypercube, the allowed moves beeing the same as those on the 3x3x3x3. Does this exist? If not, how can we show it does not exist?

 

[bobthegiraffemonkey]

This has been discussed a few times in the MC4D Yahoo group. Some ideas were thrown around, but so far nobody has actually figured out a solution, for either the 3^4 or the 2^4 which has also been considered. I have a feeling (and I don't think I'm the only one) that it's possible though, so maybe one day it will happen.

 

[abunickabhi]

Finally a real life prototype has been made a few months back.
Mass producing it will take time.

 

[Deleted member 36445]

Finally a real life prototype has been made a few months back.
Mass producing it will take time.

View attachment 21618

I watched this video a few days ago:

then I wanted to post on the forum but couldn't find the proper thread, so I posted it here

 

[caleb_g]

yea rowan is really into all of this already, you can find a lot of stuff abt it on his channel

 

[artless1der]

it seems a bit confusing...
in physics, isn't the 4th dimension TIME ???

 

[quanloh]

it seems a bit confusing...
in physics, isn't the 4th dimension TIME ???

No. Oversimplified example: 1D is a projection of 2D, 2D is a projection of 3D, 3D is a projection of 4D, 4D is a projection of 5D.....

 

[artless1der]

still kinda sounds like the old flipbook animations ... but a cube