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Eris, the Goddess of Discord, was the only god uninvited. She threw a golden apple into the wedding that said "For the Fairest". Aphrodite, Athena, and Hera all wanted the apple, but Zeus would not choose between them.
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Paris, Prince of Troy, must choose which god is the fairest. He chooses Aphrodite because she promises him the most beautiful woman in the world.
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His wife, Helen, was the most beautiful women in the world. King Menelaus goes to Crete. While he is gone, Paris steals Helen and brings her back to Troy.
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He calls for the Greek army to go to Troy and bring her back. Odysseus pretends to be insane, but is caught. Achilles dresses up as a woman, but is also caught, and must join the army.
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After Agamemnon stole his woman.
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An earlier appeal to Achilles to return was rejected, but after Hector burned Protesilaus' ship, he allowed his close friend and relative Patroclus to go into battle wearing Achilles' armour and lead his army. Patroclus drove the Trojans all the way back to the walls of Troy, and was only prevented from storming the city by the intervention of Apollo. Patroclus was then killed by Hector, who took Achilles' armour from the body of Patroclus.
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Achilles, maddened with grief, swore to kill Hector in revenge. He slaughtered many Trojans, and nearly killed Aeneas, who was saved by Poseidon. The Trojan army returned to the city, except for Hector, who remained outside the walls because he was tricked by Athena. Achilles killed Hector, and afterwards he dragged Hector's body from his chariot and refused to return the body to the Trojans for burial.
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He was killed after Paris shot a poisoned arrow that was guided by Apollo.
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The end of the war came with one final plan. Odysseus devised a new ruse—a giant hollow wooden horse, an animal that was sacred to the Trojans. When the Trojans discovered that the Greeks were gone, believing the war was over, they "joyfully dragged the horse inside the city", while they debated what to do with it. The Trojans decided to keep the horse and turned to a night of mad revelry and celebration.