These are beautiful - but the project kind of misrepresents how ancient measurements worked. Outside of building sites in Medieval Europe it would be common for the head architect to have the outline of his hand on a sign. The idea being that even "crude" measurements like hand-widths and thumb lengths would be universally agreed upon for the project. You can see some of this at work watching documentaries of the Gué…
>It wasn't until empires and mass manufacturing that the need for "standardized" measurements. You have the cause and effect backwards. Mass manufacturing didn't create a need for standardized measurements. Standardized measurements allowed the existence of mass manufacturing. Mass manufacturing wasn't even close to a possibility before that. Measurements weren't created for a need that didn't even exist yet. You can…
aristotle: off by a factor of almost 2
eratosthenes: off by -2.4–+0.8%, or maybe up to 15%, because we aren't sure how big his stadia were
ptolemy: at first accepting eratosthenes' figure, he later switched to a figure that was about 30% low
aryabhata: probably off by about 0.8%, though again it's unclear how big his yojana were
caliph al-ma'amun: probably off by about 0.45%, and in this case the source of error is not the unit of measurement but the different accounts of how many of them they measured in a degree
the fact that 1500 years ago aryabhata bothered to give the earth's diameter as 1581 1⁄24 yojanas strongly suggests that he believed the size of a yojana to be defined to within less than 26 parts per million; remember that he had to do all his calculations mentally or by hand, so extra significant figures were extra significant labor
however, all of these measurements postdate the monuments of rameses from 3200 years ago, which contain multiple precisely measured statues constructed all over egypt (though i don't have references on what the tolerances were on the statues)