I visited the Round Tower, and I have to say that even though it isn’t some big flashy production of a museum, it has to be one of my favorite sites here in Copenhagen so far. It cost 25dkk to get in, which is less than $5 and well worth every penny.
The tower was built on the initiative of King Christian IV as an observatory, and it was completed in 1642. Aside from the amazing view at the top, there are two lofts that branch off of the upward spiraling walkway. The first is a room that was used as a library to the students of the University of Copenhagen from 1657-1861, but has now been remodeled into an art gallery. The second is full of artifacts related to the history of the tower, and one can see what it might have looked like in it’s original form as the church bell ringer’s loft.

This is a model of The Round Tower, and the church that was built onto it (I would have taken a picture of the tower myself, but the streets around it are narrow making it very difficult to get the whole thing)

The spiral walkway to the top… one will go around the tower 7.5 times in order to reach the observatory level

Just part of the 360 degree view from the outdoor platform at the top of the tower… I could have spent hours up there, but it started raining. I will be definitely going back when the weather is nice!