Pakol

This hat is called a Pakol also known as a Chitrali Cap

It is a soft round flat-topped hat, usually made of wool and typically come in light natura colours such as brown, walnut, cream, ivory, grey

The Pakol originated in the Afganistan/Pakistan region and was made famous by the Mujahideen.

This hat is also the same shape and construction as the ancient Macedonian Kausia hat, worn by men in ancient Southeast Europe.

I read that before it is put on this hat resembles a bag with a round with a flat bottom. You then rolls up the sides nearly to the top, forming a thick band, which then rests on the forehead.

This hat has the band sewn up so I can't show this.