This room holds a trophy case for a giant trophy. However, the case is empty. A note on the wall says that the giant trophy fell through the floor into floor 1021 and floor 1022 wants it back. You need to return their trophy to the trophy case in order to move on.
This floor contains a primitive rope-and-platform elevator. There is a hole in the floor. It seems to be the last puzzle piece connecting these roofs. Now you just need to find out how to get to the rope.
This floor contains an animation showing the Earth, the Moon and the Sun, in their real-time positions, but not on-scale, it looks more like some kind of lunar calendar or something like that.
From 11:30 PM to 0:30 AM, at random nights, the Moon glows stronger in the animation, some text appears showing the current date and slightly ominous music plays.
All of this is being recorded and, from 11 PM to 1 AM, sent to the giant TV in the center of the athletic complex from floor 1020 (which normally shows the current games and events happening).
What happens is, you have to be watching the TV on floor 1020, then, if the Moon glows stronger in the animation, it means that you can actually move the Trophy on floor 1021 from 11:30 PM until 0:30 AM, while the Moon is glowing stronger.
If you move the Trophy, but can't put it on the trophy case on time, the Trophy is teleported back to floor 1021, and you have to wait for another glowing Moon animation to try again.
This floor contains a teleport from Floor 1021 and a shrinking chamber. Both teleport and the chamber work somehow, but no-one from the floor’s maintenance has any idea how. There needs to be sorta engine hidden somewhere.
This floor is home to the fisherman who has a fishing rod which doesn't have a hook. The fisherman says that he accidentally dropped the hook through the hole in the floor and it went down to Floor 1029, which has a sign that reads Floor 1028 (I think someone accidentally painted 1028 on the sign). Anyway, in order to pass this floor, you have to get the hook from Floor 1029 and give it to him, and he'll allow you to go to the elevator for the next floors.