Visit Swan Lake or as officially known as Tjörnin. Tjörnin is a lake in central Reykjavík, the capital of Iceland. Most visitors to the city pass along its shore, as it is situated in the city centre next to the Reykjavik City Hall and several museums. Full of history which you can learn about on a free walking tour. The walk itself is about 2km long (1.3 miles) and lasts 2 hours.