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pakol

n. A round-topped, soft type of men's hat, usually made from wool, traditionally worn by Nurestanis of Afghanistan but also by Pashtuns, Tajiks and some in Uzbekistan, Pakistan, and Tajikistan.

Wikipedia
Pakol

Pakol , or the Afghan cap, is a soft, round-topped men's hat, typically of wool and found in any of a variety of earthy colors: brown, black, gray, or ivory, or dyed red using walnut. Before it is put on, it resembles a bag with a round, flat bottom. The wearer rolls up the sides nearly to the top, forming a thick band, which then rests on the head like a beret, somewhat reminiscent of a pita bread.