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Lovely and peaceful old town; the octagonal Baroque St Mary's Chapel is Northern Germany's most important Catholic pilgrimage destination. Moreover there is a museum of religious traditions, a brandy distillery museum, several historic (Renaissance or Baroque) buildings, and a number of small restaurants and shops.
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Stadtmuseum
If you're curious how the city evolved from the tiny hamlet of Mimigernaford it was in the 6th century to become the bike-infested metropolis of today, the City Museum holds the answers. In 33 cabinets on two floors, the permanent exhibition tells the history of the Münster area from the Stone Age to the present day with the help of a large number of original objects. In addition, special exhibitions related to the history of the city are shown. Even though the exhibits are exclusively in German, many speak for themselves.
The Prinzipalmarkt used to be the city's main market street. It was heavily bombed during the Second World War, but unlike elsewhere, where ruins gave way to faceless blocks of concrete, the houses were rebuilt, some following the original plans and some merely inspired by the old architecture. Try to spot to houses with identical gables (hint: there aren't any, but they're all pretty). Today it is home to many of the city's more exclusive (some might say posh) shopping establishments.
Friedenssaal
Located in the old city hall, is famous for the signing of the historic Treaty of Münster, a document which, as a part of the Peace of Westphalia, ended the Thirty Years' War and established the Westphalian style of diplomacy between sovereign states.
St.-Paulus-Dom
Münster is known for its vast number of churches that dot its entire cityscape, including Gothic St. Lambert's (Lambertikirche) and Baroque St. Clement's Church (Klemenskirche). The city's most impressive church, the St. Paul's Cathedral, is well worth a visit.
The only museum devoted exclusively to the graphic works of Pablo Picasso. Has varying exhibits on Picasso and his life, but also his contemporaries and friends, and holds almost all of his lithographical works.