(N-1)D Nets of N dimensional cubes

[abunickabhi]

Matt again explains geometric concepts using a 3x3.

There is always a lot of group theory and graph theory that we can associate with the cube.
I never thought about the number of nets problem, before this video, and this problem/concept was eyeopening for sure.


I want to explore a generic formula for computing number of (N-1)D Nets of N dimensional cubes. It will be a cool exercise. Comment below your inputs.

On a side note, has anyone solved a 3x3x3x3?

 

[Gerry]

I just watched this video too!

Wouldn't they all be the same no matter the cube? A 3x3 and a 4x4 are still both in 3 dimensions.

 

[ruffleduck]

On a side note, has anyone solved a 3x3x3x3?

Yes, using a virtual cube. Here's the UWR (I believe)

 

[abunickabhi]

I just watched this video too!

Wouldn't they all be the same no matter the cube? A 3x3 and a 4x4 are still both in 3 dimensions.

Yeah a 3x3 or 4x4 does not matter. What matters is whether its a cube in R^3 or R^4 or so on, and can hypernets be computed in an elegant way for N-1 dim.

 

[indev85]

I have solved a 3^4! There is even a dedicated tutorial for it.