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Ancient would be the walled city, so I guess that's a pretty good comparison. Modern is decentralized, so that works too. I'm less sure about the 17-19th century city... I guess they weren't walled so much then but still had a defined core?
My guess is that cities progressed from the 17th century to the early 20th century with the advent of railroads and streetcars from cities with a big yolk and little white to cities with a small yolk and a much bigger white.
I know London used to be a city with a very high density throughout (close 100,000 people per square mile). Without transportation besides walking, extreme densities were a necessity. By the early 1900s the core became much less dense and people moved to lower but still high density neighborhoods (or the "white").
The modern scrambled city really only applies to the US, Canada, New Zealand and Australia.
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