The Ministry of Defense in the USA has the shape of a regular pentagon.
The name “Pentagon”, familiar to everyone, comes from the Greek “Penta” which means "five" and reflects the pentagonal shape of the building.
The military department in Russia also likes polyhedra. The building of the Academy of the General Staff (Moscow) was built in the shape of a regular octagon:
Team ART Kosekoma (our partner) made an interesting collection of architectural structures which have polyhedra or similar elements in their design: