When the weather’s good, you can top up your tan at the Amager Strandpark beach, just 5km from the centre. If Tivoli hasn’t exhausted your appetite then make for the world’s oldest amusement park at Bakken. Besides slightly sinister clowns and vintage roller coasters it offers pleasant woods and nearby beaches to wander around.
There are two more excellent attractions on Zealand’s northeastern coast. In the affluent town of Hillerød is the spectacular multi-turreted Frederiksborg Slot, a seventeenth-century castle built by Christian IV surrounded by an ornamental lake and housing Denmark’s national portrait gallery. Further north in Humlebæk is Louisiana, an outstanding modern art gallery. The gallery’s setting is worth the journey alone – a harmonious blend of art, architecture and the natural landscape.