What is the tower for?

Hint 1 of 8:

The tower won't work.

Hint 2 of 8:

Where else can you go?

Hint 3 of 8:

There is a door.

Hint 4 of 8:

Get the lamp in the adjacent room.

Hint 5 of 8:

The tower and the lamp are connected somehow.

Hint 6 of 8:

Use the lamp on the tower -- it fits in a very obscure place.