fedora -
A felthat with a fairly low, creased crown with a brim that can be turned up or down.
Wikipedia
A fedora is a men's felt hat that is creased lengthwise down the crown and pinched in the front on both sides. The creasing does not define the hat, however. Fedoras can also be creased with teardrop crowns, diamond crowns, centerdents, and others, and the positioning of pinches can vary if they are found at all.
OmegaWiki Dictionary
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fedora A general purpose operating system built on top of the Linux kernel, developed by the community-supported Fedora Project and sponsored by Red Hat.