For years, the third moon in the Alphane system was used as a psychiatric hospital. But when war broke out between Earth and the Alphanes, the hospital was left unguarded and the inmates set up their own society, made up of competing factions based on their particular mental illnesses. When Earth sends a delegation to take back the colony, they find enclaves of depressives, schizophrenics, paranoiacs, and others uniting to repel what they see as a foreign invasion.

Delmak-O is a dangerous planet. Though there are only 14 citizens, no one can trust anyone else and death can strike at any moment. The planet is vast and largely unexplored, populated mostly by gelatinous cube-shaped beings that give cryptic advice in the form of anagrams. Deities can be spoken to directly via a series of prayer amplifiers and transmitters, but they may not be happy about it. And the mysterious building in the distance draws all the colonists to it, but when they get there each sees a different motto on the front.

In Counter-Clock World, time has begun moving backward. People greet each other with "goodbye", blow smoke into cigarettes, and rise from the dead. When one of those rising dead is the famous and powerful prophet Anarch Peak, a number of groups start a mad scramble to find him first - but their motives are not exactly benevolent, because Anarch Peak may just be worth more dead than alive, and these groups will do whatever they must to send him back to the grave.

It's America in 1962. Slavery is legal once again. The few Jews who still survive hide under assumed names. In San Francisco, the I Ching is as common as the Yellow Pages. All because some twenty years earlier the United States lost a war - and is now occupied by Nazi Germany and Japan.

When catastrophic overpopulation threatens Earth, one company offers to teleport citizens to Whale’s Mouth, an allegedly pristine new home for happy and industrious émigrés. But there is one problem: the teleportation machine works in only one direction. When Rachmael ben Applebaum discovers that some of the footage of happy settlers may have been faked, he sets out on an 18-year journey to see if anyone wants to come back.