Museum of illusions

Stuttgart's city library moved into this spectacular new building in 2011. It took 13 years of planning, an international architectural competition (which was won by Eun Young Yi from South Korea) and €80 million to complete it. On the outside, it is a sombre, nine-storey cube with a glass-brick facade. Inside, the whitewashed surfaces and bright lighting provide an almost unreal ambiance. There is quite a lot of innovative features and facilities inside, not only related to the rather simple layout and fit-outs, but rather to the way the library itself works - for example, you can borrow not only books, but also works of art, or work with music and sound clips in the sound lab. There is also a cafe on the top floor (open 10:00-18:00), and you can get a free map and audioguide from the reception on the ground floor.

A small Chinese garden, with a pond, ornamental walls and a mini-pagoda included, hidden on one of the hills close to the Hauptbahnhof.

The Railway Station was built in 1920 as a terminus station. The 56-meter-high tower with its rotating and illuminated Mercedes-Benz is one of the most famous city landmarks. On top of the tower there is an exhibition of the most controversial infrastructure project in Germany called S21. The plan is to convert the main line terminus station into an underground through station by turning the tracks with a 90-degree angle to the present station. It's free to climb up and grants awesome views of Königstraße and the city.

A beautiful Jugendstil crematorium with occasional exhibitions about transience.

A fascinating astronomical journey, projected by optical hightech equipment: Carl Zeiss Planetarium. Almost all the shows conducted here are in German. You may have to check with the office for English show timings.

A small tower (10 m) from the 19th century.