How did Alexander the Great capture Persepolis in 330 BCE?

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In 330 BCE, Alexander the Great captured Persepolis after successfully navigating the Zagros range and overcoming the defensive position known as the "Persian Gates."12

The Persian Gates were held by the satrap Ariobarzanes, and Alexander’s forces initially faced an unsuccessful and costly assault before they were able to turn the position. Following this victory, Alexander entered Persepolis and Pasargadae. Upon occupying the city, Alexander looted it and ceremonially burned the palace of Xerxes. While some historical traditions attribute the fire to a drunken revel led by the Athenian courtesan Thaïs, the act also served as a symbolic conclusion to the Panhellenic war of revenge against the Achaemenid Empire.12