For a Middle East-based client he's not allowed to identify, Johnson worked on a project back in the late 2000s designing a building that would have been a mile-and-a-half tall, with 500 stories. Somewhat of a theoretical practice, the design team identified between 8 and 10 inventions that would have had to take place to build a building that tall. Not innovations, Johnson says, but inventions, as in completely new technologies and materials. — theatlanticcities.com
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Regarding the topic question, it comes down to this, if the soil(s) can handle the materials used to erect a structure, and its live and dead loads, then to only foreseeable limitation is money. The bigger the structure, the more its costs to build and to maintain.
I'm not sure why this question would be considered to be open to speculation. Of course there are limits.
An Artsutanov style space elevator is looking increasingly technologically feasible - but yes, of course, limits always will exist.
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