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Polygonal walls. How did they manage to fit the stones so perfectly together you can't put a piece of paper between them...
After giving it some thought my mind went back to my days as a furniture restorer. A problem I encountered from time to time was a split table top. This usually happened because of humidity or direct sunlight that caused the top to pull apart over a period of time.. The difficulty was the two pieces couldn't be pushed back together to make a seamless join. Also an added problem was the split followed the grain of the wood which would usually undulate through the split leaving a wavy crack...
To overcome this problem and get the two pieces back together perfectly, I firstly clamped the pieces together and using a saw, cut through the crack. After the first pass the two pieces would fit a bit better. I'd repeat the process, clamping the two pieces together and sawing down the split again. After two or three passes the two pieces would fit exactly. I could then work my magic with polishes,stains and waxes, you'd never know the two pieces were ever apart..
My guess is polygonal walls could have been constructed in a similar way. This would explain why the tight fit continues right through the stone and not just on the face side... Saw technology is another question but in the absence of evidence I could speculate on some kind of quartz coated twine as the blade if it was strong enough?

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