This might be something;
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My problem now is that the Touring wheels are pretty much naked aluminium on the sides, but inside the "spokes" there's a thick layer of some crap on the inside surfaces. So far, paint stripper does nothing to it. And it's very hard to sand it out, strongly considering just breaking out the Dremel at this juncture. The question then becomes if I can actually get the surface smoothly finished or if it becomes a bumpy mess. Dammit Triumph, one or the fricking other, not this halfway mess. Blah.
Edit: Well, I've tried anything and everything I could think of. Running out of day, but tomorrow I'm going to treat the whole wheel with the most sensible method I found - first, 2000 grit sandpaper until the impurities in the metal is gone. Second, Meguiar's M105 ultra cut compound and a machine, to smooth it out (it's a bit more aggressive than Flitz). And then the finishing touch which will be Flitz, also applied with a machine. It gives a great near-mirror result - in order to get fully mirrored you probably have to start with 600 grit and really dig in, then go via 1200 to 2000 and then 105 + Flitz. We'll see how much energy I have tomorrow...