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As a tower? Mainly because the base gets exponentially larger as you get taller. You'd start talking about a mountain that's significantly taller than the diameter of the earth.

Earth's radius is 4k miles. Geostationary orbit is ~25k. Space elevators IIRC, are proposed for ca 60k miles out. Assuming a 10-20x height/width ratio, the base would be 3-6k miles on a side. Even just getting to geostationary orbit would require a mountain with a base the size of a continent.




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