Part of the platforms are lifts. I was thinking aircraft carrier, but when it comes right down to it for a bay that size and considering how relatively small the shuttles look it doesn't really make sense for a carrier like lift system, just a quick throughput unload/load system with parking space.
As for the view, the still shows it pretty well, you ought to be able to see down to view the 'top' of the lower levels: med/research etc which is really unnecessary detail from a design pov.