Sometimes it is hard to tell apart hairstyle from headdress. In these cases, we voted for headdress, adding the possiblity that it might be hair in parentheses.

• brimmed cap
• calotte-shaped cap (or hair)
• conical cap
• crested cap (or spiky hair)
• cylindrical (horned) headdress
• headband
• horned headdress (single/double/triple/multiple)
• kerchief
• pointed cap
• round cap