What you see may now be a collection of destroyed 13th century ruins, but was once the monastery in which Princess Margaret lived. The story goes that she was sent by her father King Béla IV, as an offering to God to save the Magyars from the invading Mongols. She eventually lived out her life here, and the island was henceforth renamed in her honor. The ruins are art fully protected, combining withered stone with modern industrial steel observation platforms. It makes for a wonderful aesthetic combination and is well worth soaking in. Check out the statue of Princess Margaret at the far end of these ruins as well as the 20 or so busts of famous Hungarians sprinkled around the vicinity.