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Photo: Nafred at da.wikipedia, Public domain via Wikimedia Commons
One of Denmark's top art museums, featuring paintings of Monet, Renoir, Dega, Pissarro, Gauguin, Hammershøi, Philipsen, and L.A.Ring. The museum is placed in a nice park, and has been extended with a striking building by the famous architect Zaha Hadid.
Ordrupgaard is a state-owned art museum situated near Jægersborg Dyrehave, north of Copenhagen, Denmark. The museum houses one of Northern Europe's most important collections of Danish and French art from the 19th and beginning of the 20th century.
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Copenhagen racecourse
One of the most beautiful gallop runways in the world. Right at the border, and with great views over, the Dyrehaven park. A few restaurants, a grill with excellent fresh grilled sausages, etc., and a picnic area. When there are races on Fridays, it is a good place to go for some beers while watching the races.
colloquially known simply as Bakken
The world's oldest intact surviving amusement park, and has a reputation for being more folksy than its downtown rival, Tivoli. While the number of rides are hardly impressive, except for the large wooden "Rutchebanen" (lit. the rollercoaster) which dominates the park, the atmosphere it gets from the surrounding forest is quite enchanting, and the many old and very traditional pubs and restaurants is the real attraction of the place.
Rent a pony to ride in Dyrehaven. If you have small children, you can rent tiny ponies, that the children can ride, while you are walking the ponies.
Stage by the Øresund coast, with a wide range of performances, from international ballet companies over comedy to conventional plays. Lists international performances, relevant for foreign visitors, on the English version of their website.
Copenhagen's own Copacabana, and probably the country's most famous beach, with half a million visitors per year. Wide (but packed on sunny days) sandy beach and a large grassy area. Toilets, ice cream kiosk, beach volleyball fields, and 3 piers.
Garderhøjfortet
A late 19th-century fort. The inside is only open on weekends and holidays, but the outside can be viewed at any time.