Home Base describes itself in the title sequence of The X's as "the house they live in", but Home Base is most likely the name for the computerized brain that runs the functions of their house (neither Tucker nor Trudy appear to be competent about household chores, though Tucker can mow the grass). Home Base serves as advisor, SUPERIOR contact and mission alert for the X's, and can be contacted from the X-Jet. It also serves as the (somewhat beleaguered) voice of reason in the family. Seen from above, Home Base is shaped like an X. He is clearly inspired on HAL 9000, the famous board computer of the Jupiter mission in Stanley Kubrick's "2001: A Space Odyssey".