This is what I'm calling a turban hat since its not piece of cloth wrapped around your head to make a turban, its formed ready to wear shaped hat, made to look turban like.
Made as a piece of theatre costume, I found this at Chow's Emperium while rummaging one day on her stall.
Formed around a plastic skull cap with various fabric off-cuts and then decorated beads and feathers, getting a bit battered, but still good.
This hat is great for transporting you into some Arabian tale, such as Sinbad, Aladdin, Ally Baba and the forty thieves.