Nicholas Barber, chairman of the Ashmolean, said: "Renowned for our collections, the Ashmolean has always held a strong position on the cultural map.
"But now, with a magnificent new building and inspiring displays, the museum has been transformed into one of the world's great cultural jewels."
The museum is named after Elias Ashmole, an aficionado of antiquities who studied at the University of Oxford while posted to the military.
Museum director Christopher Brown said: "From the outset, our ambition has been to create not just an improved and expanded version of Britain's oldest public museum, but something significantly different in kind: A new way of showcasing the Ashmolean's remarkable collections, for the benefit of the widest possible audience."
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