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On this site there have been a couple of threads over the years about the Taiwanese Kingdom formed by the Ming loyalist Zheng Chenggong (known to the west as Koxinga), fleeing the Qing. I immediately found this kingdom (and the possibility of it taking the Philippines from Spain) to be really interesting. I mean, a timeline which isn't a Philippine-screw? A Confucian maritime merchant state outside China? Absolutely fascinating.
Now, the mentioned threads were fairly short and light on information. While searching the web however, I came across two detailed and informative articles (The first in particular is very optimistic on the potential for longevity):