After writing a tell-all book about her days in the dance troupe "Barry Nichols and Les Girls", Sybil Wren is sued for libeling her fellow dancer Angele. A Rashômon style narrative presents the story from three points of view where Sybil accuses Angele of having an affair with Barry, while Angele insists that it was actually Sybil who was having the affair. Finally, Barry gives his side of the story.

Aliens, contacting scientist Adam Penner, inform him that they have been on the moon for twenty thousand years, undetected due to their invisibility, and have now decided to annihilate humanity unless all the nations of earth surrender immediately. Sequestered in an impregnable laboratory trying to find the aliens' weakness, Penner, his daughter, a no-nonsense army major and a squeamish scientist are attacked from outside by the aliens, who have occupied the bodies of the recently deceased.