A companion of Tyche was often Nemesis (Fair Distribution/Indignation).
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Τυχη, whose name is normally transliterated as "Tyche" (following Latin convention), but would be more faithful to Greek if transliterated as "Tukhe".
Nemesis was the greek goddess of vengeance, and she was attended by Poena, the goddess of punishment, sometimes called Poine. She governed retribution, vengeance, recompense, punishment and penalies for crimes such as murder.Nemesis was goddess of retribution against or for good fortune. Tyche (luck/fortune) was a companion of hers.
She brought victory or good fortune
Protect him and his daughters from Thebans and escort him to his death place are what Theseus does for Oedipus in "Oedipus at Colonus" by Sophocles (495 B.C.E. - 405 B.C.E.).Specifically, disgraced King Oedipus ends up just outside Athens after years in exile from his Theban hometown. According to the Delphic oracle, Oedipus is a good luck charm to wherever he dies. Creon, Oedipus' brother-in-law and former royal colleague, and Eteocles, Oedipus' own son, attempt to separate Oedipus from his daughters, the Princesses Antigone and Ismene, and to force Oedipus to be buried in an unmarked grave that will bring good fortune to Thebes. But Theseus asserts his authority and power as King of Athens and as Oedipus' protector and thereby receives the good fortune inherent in being the only person to know how and where Oedipus dies.
Nemesis was the goddess of indignation against, and retribution for, evil deeds and undeserved good fortune. She was a personification of the resentment aroused in men by those who committed crimes with apparent impunity, or who had inordinate good fortune. Nemesis directed human affairs in such a way as to maintain equilibrium. Her name means she who distributes or deals out. Happiness and unhappiness were measured out by her, care being taken that happiness was not too frequent or too excessive. If this happened, Nemesis could bring about losses and suffering. Nemesis was regarded as an avenging or punishing divinity. She's also a goddess of avenging love.