Famous as Vienna's "nature and human-friendly" apartment block, the decidedly odd (yet fascinating) Hundertwasserhaus is well worth a visit.
Designed by painter Friedensreich Hundertwasser, this brightly colored landmark on the corner of Löwengasse and Kegelstrasse was completed in 1985, and the occupants of its 53 units-perhaps unsurprisingly-consist mostly of artists, intellectuals, and creative types, much like the architect himself.
Although the brightly colored building can only be enjoyed from the outside, you can explore the nearby Kunsthaus Wien, a complex of apartments containing a terrace café where you can rest while soaking up the ambience. Afterwards, pop over to the similarly styled shopping arcade.