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Modern art, sculpture garden and sea views in Humlebæk. Give it most of a day.

The Renaissance castle of Hamlet fame on the Øresund. Pair with Louisiana on the same line.

The Viking Ship Museum and the royal burial cathedral.

A moated palace with the Museum of National History and formal gardens.

Deer park and woodland at Klampenborg; easy for a walk or a family afternoon.

Danish and French art with notable modern architecture, and Finn Juhl’s House next door.

A small harbour town of yellow houses and cobbled lanes near the airport.