The term 'conical quarters' can be solved by three different crossword solutions: Teepees (7 letters), Tepes (6 letters), and Tepes (5 letters). Teepees are conical tents traditionally used by Native American tribes, made of wooden poles and animal skins. Tepes are similar to teepees, but are made of a single piece of cloth draped over a frame of poles. Tepes are also known as yurts and are used by nomadic people in Central Asia.