Well, here's my recipe for the 20k culture win in Regent. Please remember that Great Library is the key to this strategy. With this strategy, I get 20k around 1950.
ANCIENT AGE
1) Try to build the 20k city on the coast alongside of a river.
Some wonders need access to the sea to be built and the connection to fresh water saves you that turn-consuming building of Aqueduct (Construction). Remember that Hoover Dam (Electronics) needs a river in the city range...
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2) Try to make that 20k city your capitol.
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Advantages: You get the Palace's culture (2 cpt) from the start. The building of wonders won't be slowed by waste/corruption (red shields).
Drawbacks: you won't be able to prebuild with Palace (that can be very dangerous if AI completes the wonder you were building and you have no other wonder to fall back to).
