Vanishing Point has served as the headquarters of the Linear Men. The battle between Extant and the Justice Society of America during the events of Zero Hour took place here. During his travel through time, Bruce Wayne ends up at Vanishing Point, seconds before the end of time and is sent back by a shady figure know as the Archivist.
In Time Masters: Vanishing Point it is relieved that the Vanishing Point fortress was once the mountaintop home of Booster Gold, his wife and their son, Rip Hunter. When time travelling assassins come for them, Booster teleports the entire building to the one place they can't follow: The end of time.