1) Fez 1) Fezlike hat 
• (n.) A red cap worn by Turks and other Eastern nations, sometimes alone and sometimes swathed with linen or other stuff to make a turban. See Fez.
close-fitting, flat-topped, brimless hat shaped like a truncated cone. It is made of felt or cloth with a silk tassel and is worn especially by ... [1 related articles]
Tar·boosh' noun [ Arabic tarb...sh ; perhaps from Persian sar-posh headdress: confer French tarbouch .] A red cap worn by Turks and other Eastern nations, sometimes alone and sometimes swathed with linen or other stuff to make a turban. See Fez . 
A tarboosh or taboosh is an Egyptian, man's brimless hat resembling a fez but with a more waisted shape. The tarboosh is worn alone or as part of a turban by Muslims in some eastern Mediterranean countries.