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Photo: User:Cicero85, CC BY 2.5 via Wikimedia Commons
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.
Alþingishúsið is a classical 19th-century structure which stands by Austurvöllur in central Reykjavík, Iceland. It houses Alþingi, the Icelandic parliament. The building was designed by Ferdinand Meldahl and built using hewn Icelandic dolerite from 1880 to 1881.
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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.
The Settlement Exhibition
Run by the Reykjavík City Museum, this exhibition in central Reykjavík was built around the oldest archaeological ruins in Iceland. As the name indicates, these ruins date to around the year 870. This interactive exhibitions brings you the early history of the area that today forms central Reykjavík.
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.
Pönksafn Íslands
A small museum devoted to the history of punk music in Iceland, located in a former underground public toilet facility. In the final room you can listen to Icelandic punk music through headphones, and there are guitars and leather jackets to try on and pose with.
The Pond
A small lake in the centre of the city where young and old often gather to feed the ducks. The Icelandic name, Tjörnin, literally means "The Pond". Tjörnin is mostly surrounded by a park called Hljómskálagarðurinn (Music Pavilion Park) which gets very popular in good weather. The southern end of Tjörnin links it to the Vatnsmýri swamp, a small bird reserve with paths open to the public except during egg hatching season. Built into Tjörnin on the northern side is Reykjavík City Hall.