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One of the best examples of late 20th-century architecture in Iceland, built into Tjörnin (The Pond). On the ground floor, which is open to the public, there is a large relief map of the whole country as well as a café and an exhibition hall.

On the southern edge of Austurvöllur is a small building of hewn stone, but don't let its size fool you. This is the building of the Icelandic parliament, known as Alþingi. The institution has in fact long since outgrown the building which was built in 1881 for a nation of a little over 60,000. Today the upper floors of most houses on the north and west sides of the park also house parliamentary offices. The Alþingi building today houses only the debating chamber of the unicameral institution and the party meeting rooms. When Alþingi is in session it is possible to go up to the viewing platforms and watch the debates, otherwise only groups affiliated with educational institutions are permitted to tour the inside of the building.

A small park (or square, depending on definitions) in the heart of Reykjavík. It's many locals' favorite place to spend sunny days, either at one of the cafés lining the north of the square or simply having a picnic on the grass. The parliament and the national cathedral both stand by Austurvöllur.

This experimental theatre group has toured the world and won many prizes for its daring productions which include Romeo and Juliet, and Woyczek. They have also made films including the acclaimed Children and Parents, in 2006 and 2007 respectively.

By the old harbour in Reykjavík, Hafnarhúsið hosts a rotating exhibitions of the work of Icelandic artist Erró and temporary exhibitions often showcase other local artists.

A very small museum with a nice library and reading room where you can find some older (but good) books about photography and current and past issues of photography magazines. It also has a huge collection of Icelandic photographs.