Here is one solution for the continuing enigma of Peruvian precision stone carving, which resembles puzzle pieces (or dozens of soap bubbles) more than modern bricklaying. The solution has to be simple, given the tools of the time.
The carving-lifting-fitting-carving-lifting-fitting problem
on a vertical wall with cranes and ropes (see video below) is resolved if you first carve and fit the stones that make up the wall horizontally on a flat surface. That’s all you have to do: first create a paved ‘street’. Treat the whole wall as a unit. In that way large stones can be set among smaller stones for design effects. Notches and curves can be created between every stone pairing. Dozens to hundreds of stone masons can be working on all the stones at once. A single overseer can guide their efforts. As the edges are carved off, the stones gradually get closer and closer to one another.
At that point,
when everything fits precisely as a horizontal puzzle, workers can then disassemble the horizontal ‘street’ and confidently re-erect each pre-carved stone atop one another creating a vertical wall with hyper precision already built in.