South.
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If you travel south of South America far enough, you will reach the continent of Antartica.
Since the earth is a sphere (a ball), you can reach anywhere by going either direction from anywhere. But the trip is usually shorter in one direction than in the other. From the Prime Meridian, the trip to North America or South America is shorter if you head out going toward the west.
Most people would, logically, travel west to go from South America to New Zealand. Given that the world is round, going east would also bring one from South America to New Zealand.
you would be in Antarctica.
Che Guevara never traveled to South America, he was born in South America; Rosario, Argentina.