Eugensplatz is a small square above central Stuttgart, valued less as a plaza than as a viewpoint and pause on the climb through the city's slopes. The Galatea fountain gives it a focal point, while the view back over the centre explains Stuttgart's bowl-like geography better than a map.
It is a good stop if you are walking between the city centre and the eastern hillside neighbourhoods. Come with an ice cream or coffee, linger for the view, and then keep moving; Eugensplatz is at its best as a breathing space in a hilly urban walk.