Murder in a Blue World

Anna Vernia, a beautiful young nurse, receives a medal of recognition for her outstanding dedication to her patients at the medical center where she works. She is going out with Victor Sender, a doctor working in the same hospital. Victor is deeply involved in a project that employs electro-shock therapy in violent criminals in an effort to turn them into model citizens.

Crime is rampant in the city. There has been a number of unresolved killings of young men which have been attributed to a serial killer believed to be a sadistic homosexual. A family is getting ready to watch Stanley Kubrick's A Clockwork Orange on television when they are assaulted by a gang of delinquents who knock at their door. The assailants, wearing red helmets, leather biker's outfits, and handling bullwhips smash the modern looking apartment. They rape both husband and wife but leave the couple's young son unharmed. After their crime, there is a dispute among the four members of the gang. One gang member, David, is beaten up and expelled from the group.

Anna is a pop art collector. She is the highest bidder in an auction of Alex Raymond’s artwork for Flash Gordon. At the auction, she gives her phone number to her bidder rival, Toni, a young man with a handicapped leg. Anna lives alone in a large mansion on the outskirts of the city where Toni comes to see her. After they have sex, Anna listens to Toni’s heartbeats while he sleeps and stabs him to death with a surgical scalpel. She disposes of Toni's body in a river, but she has been secretly observed by David. He finds out Anna's information through her car’s number plate and begins to follow her. Wearing a wig and dressed matronly, Anna seduces Bruno, a narcissistic underwear model, who she has seen on TV commercials. She takes him home and kills him. His body falls next to the book Anna was reading: Vladimir Nabokov's novel "Lolita".

Although Anna is still going out with Victor, she rebuffs his romantic advances. Dressed in drag, Anna enters a gay bar where she picks up Roman Mendoza, a gay man who she takes home. After dancing a waltz, Anna proposes to have sex. He is initially hesitant. He thought she was a lesbian. He had never had sex with a woman before, but he is game. While Anna was out, David entered her house after befriending the German Shepherd that guarded her property. Hiding behind curtains, David witnesses Anna seducing the young gay man and sees her stab him in the heart.

Broken glass inside her house alerts Anna that there is an intruder. When she looks outside she sees David playing with her dogs behind the mansion fence. Anna, pretending to be a maid, befriends David and invites him in. When she is going to start her pre-murder routine, David shows her the surgical scalpel used by Anna to kill her victims. She has been hiding it inside a music box. David does not want to denounce her to the police, but he begins to blackmail her instead. Through their monetary transactions, David begins to arouse Anna's personal interest. David buys a motorcycle with the money, but the members of his former gang, who believe he has stolen a bounty from them, pursue him and leave him badly beaten. David is taken to the hospital where Anna works. Since David was a violent criminal in the past, Victor wants to experiment on him the electro-shock therapy to turn killers like David into “useful citizens”. Anna is moved when she finds out that David is now her patient. She is not going to allow Victor to use David for his experiments. At night on New Year's Eve, Anna reads a poem by Edgar Allan Poe to David. When Victor arrives he finds Anna covered in David's blood after she killed him. In another room, the criminal patients in Victor's experiment go berserk, savagely killing each other.