Amos Dvir, Avner HaLevy and Roberto, three scientists, investigate cerebral energy called "The Lambda Ripples". They want to have an experiment that will involve six gifted kids. However, Avner and Amos decide to delay it for a few years. Disappointed, Roberto co-operates with Lillie Dvir, Amos's wife, and the two conduct the experiment on Amos and Lillie's children, three-year-old Maya and Jonathan. The experiment doesn't work and explodes, but the kids stay alive. Roberto goes to jail for six years and Lillie leaves Israel after divorcing Amos.
The show fast forwards to seven years later. Amos is dying of cancer, so he decides to grow his children into adolescence – to the age of fifteen with his machine Turbo-Time, which can change age, and changes their names to Aya and Nini. Avner raises a project for gifted students and Amos is asking him to attach Aya and Nini to the project. Amos leaves to medical treatments in Switzerland, while Aya and Nini think he's dead.
Avner forms "The Octette" and recruits eight gifted students to investigate the ripples. In addition to solving riddles and saving the countries and themselves from hostile forces, the octette acts like a typical class with loves and friendships: Aya and Adam are in love at first sight. Nini and Roni, and Mika and Avi, become couples too. Surprisingly, Lillie comes back from abroad to raise her children. At the same time, she and Roberto co-operate and follow the project to avenge Amos and Avner.
A substitute teacher named Dedi joins the school and begins a relationship with Dganit, the class teacher. At the same time Lillie gains control of the project and is ready to use the octette like batteries and pump the lambda energy from them. Lillie threatens the octette, almost kills Adam and Dganit, goes to jail and disappoints her two children. Aya and Nini are shocked to find out that their father is alive, and he is a person that they have known so far as their history teacher – Dedi. In spite of the project's success, Avner and Dganit decide to end it because of the risk to the students and a possible public exposure of the project. The students are scattered in couples in the school's classes. Dganit and her son Ben-Ben move to Dedi, Nini and Aya's house. The season ends when Nini returns to be Jonathan.
The second season opens at the superior court, where Dedi and Avner stand trial for illegally using children. They are on the verge of insanity, but the testimony of Yair Noam, the Prime Minister (who had headed the project as the education minister) leads to their acquittal. Dedi, Dganit and Avner start a new project, this time with state approval. The Prime Minister sets up an elaborate watch tower at the top of the Azrieli Towers, where they can work undisturbed. The ostensible reason is solving some of the country's problems, but in fact, the state is trying to use their lambda energy. The project is well funded by the Prime Minister and his assistant, Muli Noam.
Nini decides to be 15 again and Aya visits Lillie in jail and follows her to Patmos, her asylum. The plane to Patmos crashes and it is assumed that Aya has died in the crash, although no corpse is found. At the same time, Dganit meets an orphaned girl named Nitzan and adopts her. Nitzan sleeps in Aya's room and starts to spend time with the group. At first, she's dating Dori, but finally she's dating Adam, after he reconciles himself with Aya's death. Avner recognizes lambda ripples in Nitzan too and she joins the project, instead of Aya. At the same time, the viewer is shown that Aya is not dead, but in a desert in the middle of nowhere.
Aya discovers that she had been kidnapped by Muli Noam, and confronts him. Muli is a member of a sect named "Scorpio", a destructive sect that wants to spread their ideas using the lambda ripples and seeks to dominate the world. The sect tries to pump Aya's energy and even threatens to hurt Adam's sister, Rotem. Later, they kidnap Dedi. At the same time, Daniel Harris, a 19-year-old millionaire, enters Natascha and Roni's life. He dates Roni and taking Natascha as an apprentice artist under his patronage. However, he is a member of Scorpio. Just before the season ends, it is revealed that Lillie is also a member of the sect. She saves her ex-husband and daughter, Dedi and Aya, but goes to jail again.
The sect members kidnap the octette and bring them into the temple where Aya, Dedi and Lillie are held. Dedi shoots Muli and all the sect members are arrested by the police, except Daniel, who escapes. The octette members, and especially Adam, are shocked to see Aya alive. Aya comes back home, but she is broken-hearted and feels uncomfortable around her friends. Nitzan moves to Roni's house, instead of Roni's sister, Elli, who is flies to London as an MTV emissary. Dganit tells Dedi that she is pregnant, and they get married.
The third season starts in Mika's aunt's villa during the summer holidays. After a strange guest comes to the villa, everyone in the octette, except Aya, joins the police's secret organization called "The Council". Aya prefers to spend her summer holidays helping pregnant Dganit and reading books. The octette introduces itself to Alex, Lillie's sister and the head of "The Council", and the three procurators, Yoel, Dafi (the strange guest), and Omri. At the same time, Avi, who becomes the leader of the octette, breaks up with Mika and moves into Chekhov's place. Chekhov is an old friend and also a member of "The Council". Avi doesn't know that he was chosen to be commander because of his relationship with Chekhov. Roni and Nini get back together, and Nitzan and Adam maintain their relationship, although Adam still has feelings for Aya.
At the same time Dganit's doctor, Julius Calderon, arouses suspicion in Aya, and it is exposed that he was the doctor of all the octette members' mothers, when they were pregnant. Julius combines Daniel Harris and Lina, who has escaped jail, and together they try to get the Crypton gene, the gene that makes a human with lambda ripples—a physically perfect human.
The fourth season (unofficially known as HaShminiya: The Next Generation) starts seven years after the end of Season 3. After receiving a mail from Avner HaLevy, saying that their memory was wiped. He also tells that he couldn't wipe the memory of his own son, Adam, and that he lived all-alone until he died, though it is suspected that he was murdered. He tells the remain seven - Natascha, Roni, Dori, Nini, Aya, Mika and Avi - that they have a mission - they have to find and train all-new six teenagers - Raphael, Hagar, Yotam, Gilli, Dennis and Leia.
Tamar and Yaron Dvir, Aya and Nini's siblings, are seven years old, and are home-schooled by tablets and LSRs - and Avshalom, the new villain, using their lamda for his new corporation - "Good Thoughts cop". This corporation has very few workers - and apparently, Nitzan is one of them.
The fourth season was split into two parts: Season 4 (24 episodes) and Season 5 (23 episodes).