It looks like some sort of amusement ride at Six Flags... climb to the top to see the entire park!
What if they added some sort of glass or metal veil around the entire skyscraper so that the elevator tower would not look like its protruding? Like the example below. If they use glass you would still see the real body of the building and its vertical lines. Is this a crazy idea? I think this would preserve the monolithic look somebody pointed out the elevator would take away. The veil would give it an updated and more modern look though but keep its main characteristic that is its singular block of structure.
https://i.pinimg.com/564x/f6/b0/2f/f...df64a02140.jpg
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