The first Catholic church to be built after the Reformation in Erlangen, this is a surprisingly austere affair. After much prodding by the growing Catholic community (the religious toleration extended to Huguenots was also granted to Catholics) they finally got a Bethaus in 1790 under rather strict limitations (no organ, no spire, a site on the outskirts of the old town) put in place on the urging of local Lutheran and Calvinist citizens. The congregation grew with emigrants from the French Revolution and upon the Bavarian takeover, Catholicism was now much more favored by the Catholic overlords in Munich so extensive redesigns and the wholesale replacement of the original building with a church in 1849/50 were done to keep pace with the growing congregation. Today only a 1830 baptismal font is one of few things that remains after extensive redesign and expansion.
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A nice place for a walk especially in rainy weather or winter. Visit the greenhouses. The garden offers an artificial stalactite cave, called Neischl-Grotte (which however is not always open).
One of the 3 stages of the Stadttheater, which is the oldest Baroque theatre in Southern Germany - built in 1719. It is worth visiting, even if you don't understand German at all. Some plays and performances are held in the other locations. Given Germany's propensity to subsidise "high culture", tickets are very affordable indeed.
Especially popular amongst students and other young folks on nice weather and is used for sunbathing and playing; it also offers a lot of benches.
In the Schlossgarten park.
Historic museum of the city that also has changing exhibitions on various topics. The building dates to the 18th century and used to house the city hall for Altstadt - old town and new Hugenot town being separate for a long time.