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Places to see:

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Museums: Cultural Tour
1. The two biggest museums on the Ring, near the Hofburg, History of the Art museum and Natural Sciences museum. Visit the one you like.
2. Albertina, paintings
3. Hundertwasser Haus, exhibition and a nice restaurant, similar to Gaudi in Spain.
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Food: Taste Vienna
1. Figlmüller, for the typical Viennese Schnitzel (escalope), behind Stefansdom
2. Rainthaler, near the Albertina
3. Coffee houses, traditional and famous: Demel near the Michaelertor, Cafe Central in the Herrengasse, Landtmann opposite the Rathaus
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Music: Musical Vienna
1. Concerts:
check the programme in the Musikverein (classic) and the Konzerthaus (jazz). They are the best music halls.
2. Religious: every Sunday morning at the Jesuitenkirche at 10.30 or the Augustinerkirche at 11h. Check their respective programme.
Check also the programme at the Stefansdom.
Just before the Jesuitenkirche, there is a house where Calvin lived.
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Shopping:
Mariahilferstraße, shopping area, get there by Metro, Line U3, direction Ottakring, station: Neubaugasse.
There is a shopping center called P&C, very good for all the family.