This illustration bears a striking esemblance to the tubeteika, a general term for a variety of Central Asian caps. Worn traditionally throughout Central Asia, the Caucauses, and by many many muslims in Russia. Also bears some some superficial resemblance to the yurt, another Central Asian cultural icon.

Three Turkmen women weaving a carpet wearing Tubeteikas. Courtesy of the Soviet Information Bureau Collection of Photographs, Fung Library, Harvard University.
http://id.lib.harvard.edu/images/8001595833/catalog