Octahedron in Cube: Proving the Possibility

[BrianKim]

I heard somewhere that the Octahedron can't exist in the Cube exactly.

Is this true? Can't I prove that the octahedron in the cube?

Intuitively, they seems true. But I can't sure.

 

[Khashishi]

Your question is not at all clear.

 

[BrianKim]

I meant this. I heard that this octahedron don't exist. But...

 

[Vanadium 50]

You are both drawing something and telling us it can't exist. Doesn't that bother you?