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The Hellenistic period was characterized by a new wave of Greek colonization (as distinguished from that occurring in the 8thâ6th centuries BC) which established Greek cities and kingdoms in Asia and Africa.
The Sieve of Eratosthenes. By the 3rd Century BCE, in the wake of the conquests of Alexander the Great, mathematical breakthroughs were also beginning to be made on the edges of the Greek Hellenistic empire.