If you're craving some mental stimulation, make sure you check out Museum im Goldschmiedehaus. Whether it's history, culture or beliefs, you'll find lots of interesting displays to keep your mind active here.
You'll soon find out why this Innenstadt collection of historical artifacts is visited by many travelers. If you're looking for more to do and see here, Maximilianpark, Sri-Kamadchi-Ampal-Tempel, and Ahlen Art Museum are in this area as well. They won't take you very long to get to from Museum im Goldschmiedehaus.