The Engineering Challenges.of The Cube
Thinking about the cube it would require overcoming immense engineering challenges.
First the size. This must be a big building. 26 cubes X 26 X 26. How big is each cube? Assuming a 5 metres that would give dimensions of 130 X 130 X 130 metres or 430 ft (approx) A decent enough height for an office building but with equal width and depth. Apparently no one noticed such a big building being erected. It must have been erected in Area 51 or some secret military base. How much "office space" is that? That is 25 sq metres per cube. Some of the cube spaces would be vacant to allow shifting positions. So assuming total floor space is 25 sq metres X 25 X 25 X 25. That is 390,625 sq metres or 4,204,706 sq feet. That compares to 13.4 million sq feet of the old World Trade Center complex of 7 buildings.
Shifting mechanism of the cubes in X, Y and Z axis. What sort of mechanism? Magnets? I don't see elevator cables as workable. The elvator model will not do. There is an experimental elevator without cables using magnets which could work for height. X and Y movements could be done by guide rails. I can imagine a computer program to guide the movement of the cubes. A code inside each autonomous cube something like "If space to the left is vacant THEN move into it", "If space above is vacant THEN move into it" with variations determined be the X, Y and Z coordinates.
Lighting, electricity, air conditioning and ventilation (and plumbing?). This has be be supplied to each cube in a way that allows for the cubes to be portable. Air has to be circulated in a complex of shafts with vents lining up with each cube. Ditto for electricity. Maybe each cube has its own battery rechargeable from mains which it plugs into at each slot. If each cube is to move around the building then cables wouldn't work. Plumbing? I don't remember any of the characters in the movie taking a nature break. Moving water and waste around a structure with portable cubes would be a neat engineering challenge. It would be like providing a sewered toilet and wash basin in an operating elevator.
Anyone with any other ideas?