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Take one of the underground trains U1 (red) or U3 (orange) to Stephansplatz
and use the exit Stephansplatz 
(please do not use the exits Graben or Kärntnerstraße).
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Go straight ahead, passing the Stephansdom on your right hand side, into
Rotenturmstraße.
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Follow Rotenturmstraße 
until you come to a small square called Lugeck
(you will see a famous ice cream parlour, Zanoni & Zanoni, at the corner
Rotenturmstraße/Lugeck)
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turn right at this point.
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From Lugeck 
you can follow either Sonnenfelsgasse
or Bäckerstraße
...
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... to a small square called Dr. Ignaz Seipel Platz,
where you will find the Austrian Academy of Sciences in house number 2
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