If you're looking for some mental stimulation, spend an afternoon at Universitätsmuseum für Kulturgeschichte. Whether it's history, culture or traditions, you'll find plenty of fascinating displays to keep you entertained here.
You'll find this collection of historical artifacts in Marburg. Once you've done everything you want to at Universitätsmuseum für Kulturgeschichte, consider visiting nearby St. Elizabeth Church, Landgrafenschloss, and The 1st German Police Car Museum.