The new museum (not yet fully open) has a fascinating history, but most interestingly, it can trace it's roots back to Ole Worm and his Museum Wormianum:
The history of the individual departments, which now are part of the united Natural History Museum of Denmark, can be traced back to the 17th century. One historical figure in particular played a crucial role in the creation of the Danish national heritage, namely Ole Worm (1588–1654). His cabinet of natural curiosities, the Museum Wormianum, formed together with the Royal Danish Cabinet of Curiosities the nucleus of what later would become the Geological Museum and the Zoological Museum. In 1621 Ole Worm also became the director of the Botanical Garden, which at that time had been quite neglected. Here he introduced a large variety of medicinal plants and rare species from abroad. -- Wikipedia
The museum now houses the exhibition, "A cabinet of curiosities: Ole Worm’s ‘Museum Wormianum’ (1655)" a recreation of the Museum Wormianum by artist Rosamond Purcell. In this installation of the work, the museum has also included some of the original artifacts from Worm's Museum.
Also of interest to me (of course) is the Raphus cucullatus (Linnaeus, 1758) in their collection.
See also the following posts: