Elwood Caswell, a homicidal maniac who wants to murder his best friend. Knowing it was wrong, he stops to buy a therapeutic machine, one made by General Motors. In a hurry, he buys, for cash, the floor model. The clerk learns that the floor model was gauged for Martians, who knows what effect it would have on a human, and the hunt is on.
Len Mattern is a space merchant, seasoned from decades of meandering from star to star in a tramp freighter. His obsession is the high-class prostitute, Lyddy, and Len has spent his entire adult life amassing sufficient wealth to wed her, which he does at the story's beginning. The rest of the tale is told mostly in flashback.
Abby Wright is a reporter for the local news station KRT whose husband Ellis disappeared a week ago. She's good friends with an engineer from the station named Cole and has dinner with him. Later they go out on a walk on a woods trail in a park where strange alterations in reality start taking place.
Harry Scott is being pursued by some things. They're not human. They're not-men. A door bangs. Footsteps tread heavy. A phone ringing. Can Doctor Webber help poor, delusional Harry?
Lieutenant Commander Frank Jacklin is blown up in a thorium bomb explosion while on the battleship Alaska. He awakens in the body of Winnie Tompkins who had perpetrated the explosion. As Tompkins, he learns of a plot by German agents to poison Franklin D. Roosevelt and he tries to warn the authorities. He continues to become involved in intrigue until another accident restores Tompkins to his body, leaving Jacklin in the body of a dog.