The meeting will take place on a planetoid impervious to outside attack or internal subversion in any way. But while President Romana walks a knife-sharp political tightrope into dangerous territory, Leela and K9 find themselves attending the summit in unexpected roles. They are hunting for evidence of Free Time activity, but find instead terrors of a different kind time and time again. What impossibilty stalks the planetoid? Who is manipulating time? Can Leela and Romana discover the truth or will they find themselves sent back to square one for all eternity?