No more than 15 minutes by public transportation from the ice rink and you are in the center of Copenhagen.
What to do:
Shopping
You will find a lot of shopping malls in Copenhagen.
Boat ride
Rent your own boat and experience Copenhagen from the canals (www.goboat.dk)
Swim
Yes you can swim in Copenhagen - All the canals are with clean water and special places are made for swimming. (Københavns havnebade og strande | VisitCopenhagen)
Other stuff:
- Nyhavn.
- Amalienborg Palace.
- Church of Our Saviour.
- Christiansborg Palace.
- Christiania.
- Rundetaarn.