Upvote:1
The traditional summer hat, composed of a conical top sewn from six gores attached atop a cylindrical lower part, is called a "toortsog". As a summer hat it is usually made of felt or wool rather than fur, though the lower band is occasionally fur even when the top is not.
Other types of traditional Mongolian hat include the gugu, loovuuz, and traditional four-eared conical hat.
I've seen claimed that, traditionally, Mongolians regard their hat as an "outward representation of their soul". Assuming even minimal validity to this, it's clear that many variations my be simply personal choices that don't have unique names.
Upvote:1
Don't know its name(s) in Turkic/Russian/Mongolian.
In Arab culture, the version of this conical hat with brim is called: "sarāqūj". Used by Mamluk military and believed to originate from Central Asia.
Another hat that seems to have been popular during the Mamluk era was the sarāqūj. It was a high, pointed, conical hat of Central Asian origin with a brim that most frequently was turned up, but also could be turned down. The sarāqūj was usually white or a light tan. It could also be two-toned, with a light brim and a colored crown. The point of the conical crown could be plain or have a decorative metallic knob, pointed plaquette, tuft, or long plumes extending from it. The cone could be simple or paneled in vertical sections ...
From Arab Dress. A Short History - From the Dawn of Islam to Modern Times (2003), p.68.
Another source is Armies and Enemies of the Crusades 1096-1291 by Ian Heath:
Finally, it is a distinctive Mongol headgear of some elite status because Hülegü (Il-Khanid) presented a sarāqūj to a prisoner they rescued.
The context for this is provided by the Syrian scholar al-Yūnīnī, who relates that al-Saʿīd Ḥasan had been imprisoned by al-Nāṣir Yūsuf, the leading Ayyūbid in Syria, in the castle of al-Bīra, a major crossing point of the Euphrates. When the Mongols passed through, they had released him, and as a sign of great honour, Hülegü himself had presented him with Mongol clothing – a brocade mantle and a hat (qabāʾ zarbaft wa sarāqūj) – which from then on he always wore.
From p.140 - STEWART, A. (2016). If the Cap Fits: Going Mongol in Thirteenth Century Syria. Journal of the Royal Asiatic Society, 26(1-2), 137-146. doi:10.1017/S1356186315000887