Where did Archimedes spend most of his life?

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Archimedes spent most of his life in Syracuse, the principal Greek city-state on the island of Sicily.12

Although he likely spent some time in Egypt early in his career—where he is credited with inventing the Archimedes screw—he returned to Syracuse, where he maintained close ties with King Hieron II and remained until his death during the Roman siege of the city in 212 or 211 BCE.23