Adamastache
From Battlestar Wiki, the free, open content Battlestar Galactica encyclopedia and episode guide
Adamastache is the facial hair adorning Admiral William Adama's upper lip. The Adamastache first appears to us at the end of season two but meets an untimely demise at the beginning of season three in the episode Exodus Part 2. While the shaving of the Adamastache was symbolic of a new beginning for the colonies, we also learn through flashbacks in the episode, Unfinished Business, that it was also party to a "laid-back" Adama and possibly played a role in the alleged nookie between the Admiral and Laura Roslin on New Caprica.