The Germans actually have a word that means "a face desperately in need of a fist": backpfeifengesicht. In the realm of Internet menswear, there are three types of faces that meet this criteria with alarming frequency:

1. Guys with beards who look like molesters. (This is kind of redundant, but regardless...)
2. The preening, posing attention whores of Pitti Uomo.
3. That perpetually mugging style blogger guy.

People wearing these big stupid hats seem to reliably fall into not one but two of these groups. The accompanying accessory should probably be a mouth guard.