A thoroughly impractical—but fun to imagine—alternative to a space elevator:
Analemma inverts the traditional diagram of an earth-based foundation, instead depending on a space-based supporting foundation from which the tower is suspended. This system is referred to as the Universal Orbital Support System (UOSS). By placing a large asteroid into orbit over earth, a high strength cable can be lowered towards the surface of earth from which a super tall tower can be suspended. Since this new tower typology is suspended in the air, it can be constructed anywhere in the world and transported to its final location.
The construction might sound like Clarke’s The Fountains Of Paradise, but I imagine life in the tower would be more like Ballard’s High Rise.