@datarama @cstross @Richard_Littler
I don't think the Romans built anywhere near that tall. I think it wasn't until well into the middle ages that buildings surpassed the pyramids in height.
There's a popular idea that the Eiffel Tower was the first structure taller than the pyramids, but that's false. People in the middle ages got ridiculously good at building tall from all those cathedrals.
The Lincoln Cathedral in 1311 surpassed it, but it's possible that the Yongning Pagoda already briefly surpassed it in 516.