The tall and pointed head gear is called a mitre while the small 'beanie-like' cap he wears on the back of his head is called a zucchetto.
Episcopal mitre.
The pope's fisherman's hat is called a "zucchetto." It is a skullcap worn by the Pope and other high-ranking clergy members in the Catholic Church. The white zucchetto is typically worn by the Pope, while cardinals wear red ones.
The mitre is the ceremonial hat worn by a bishop (including the pope) in Catholicism, the Anglican Church and a few other Christian sects.
Toque
Coppola...
Petasus
Mexican Sombrero
Pava.
Glengarry
The skull cap worn by a pope, cardinal or bishop is called a zucchetto.
The hat worn by the Queen's Guard is called a bearskin hat. It is made of real bearskin and is part of the ceremonial uniform worn by the guards when on duty at royal palaces.
The hat they wear is called a fedora.
the golden cap