We left the city to explore the countryside at the suggestion of our taxi driver, she mentioned Jokulsarlon, which means "diamond beach".
We stayed at Fosshotel Glacier Lagoon, a brand new four star hotel near the lagoon.
The glacier lagoon was just beyond the hotel and it was incredible.
Glaciers calve into this lagoon and flow out to sea. It's possible to take boat tours of the lagoon, although that's not something we did. There's a small cafe and coffee shop also.
The beach has chunks of ice on black sand which look like diamonds.