Fedora

From Tardis Wiki, the free Doctor Who reference
Fedora
The Fourth Doctor sports a fedora. (TV: The Sun Makers

A fedora was a felt hat.

Such a hat was part of the Fourth Doctor's outfit. (TV: Robot) He occasionally used it to cover his face to nap. (TV: Robot, The Androids of Tara) However, during the middle of his life, he preferred to go without it unless the weather called for a hat.[source needed]