Kapisztrán tér
This historic square at the northwestern end of Castle Hill is named after St. John of Capistrano, a 13th-century Italian friar who recruited a crusading army to fight the Turks who were threatening Hungary; you can find a statue of the honored Franciscan here. The square is also home to the remains of the 12th-century Gothic Mária Magdolna templom (Church of St. Mary Magdalene). With most of church destroyed by air raids during World War II, the main feature still standing is its tower: you can pay to climb its 172 steps for stunning city views. Also on the square is the Hadtörténeti Múzeum (Museum of Military History), set within a former barracks that still has cannonballs from the 1849 siege lodged in its walls. The exhibits, which include collections of uniforms and military regalia, trace Hungary's military history from the original Magyar conquest in the 9th century through the period of Ottoman rule to the mid-20th century.