Impossible Geometry – Disappearing Rooms

I’d like to create a room within a cube with a corridor leading from it. However I’d like to be able to rotate the scene, but for the back of the cube to remain solid. So I guess what I’m after is an impossible corridor, or a door into another world type effect.

I’ve mocked up what I mean with two images.

Perhaps you might be able to make it using some of the techniques from this video: