An octagonal architectural treasure © Toni Spagone/Alamy
Built in the 1240s by the Holy Roman Emperor Frederick II in southeast Italy, Castel del Monte (Castle of the Mount) features an unusual octagonal design. Eight stone walls stretch between eight octagonal towers and enclose an octagonal courtyard. Each of the two floors also has eight trapezoidal rooms. Acclaimed and protected as a World Heritage Site in 1996, the castle symbolically reflects a harmonious integration of classical Roman, Arabic, and medieval architecture and design—and to some, its octagonal symmetry suggests a connection between heaven and earth.